Part of Fortune
The Part of Fortune is the ascendant plus the Moon minus the Sun, and in the English horary tradition it is that by night as well as by day. It marks where material fortune and bodily wellbeing gather, and it's the one lot that tradition genuinely judges by.
The fuller picture
Settle the formula first, because the rival version puts the point half the zodiac away. Fortune is the ascendant plus the Moon's longitude minus the Sun's. A well-known Hellenistic convention swaps the Sun and the Moon in a night chart, and Lilly knew it, printed it and declined it: "Whether your Figure be by day or night, observe this Method; for how many degrees the Sun is distant from the Moon, so many is the Part of Fortune from the Ascendant." He backs the direction with his own check — Fortune sits on the ascendant at a New Moon, in the fourth at the first quarter, the seventh at the full, the tenth at the last — which is the lot tracking the Moon's separation from the Sun through the whole lunation, and the reversing form runs it backwards. So there is no sect branch here to get right; the sect question belongs to the other lots, not to this one. It is still a useful check on your own arithmetic, though, because in the historical figures we've reproduced the printed Part of Fortune lands within an arcminute or two of the computed one.
What it signifies is worldly good: money, property, the body's health and the sheer luck attached to a matter. It has two settled uses in practice, and both of them come from questions about moving. When somebody asks whether to relocate for material gain, the second-house ruler is read together with the Part of Fortune and the planet that disposes it, so the lot is one leg of a three-part reading rather than a standalone verdict. And when the question is which direction to move, the part joins Jupiter, Venus and the Moon in a quarter count — two or more of the four in one quarter of the chart points the direction.
The condition it's in is the whole of what you read. A well-dignified Part of Fortune in a house speaks well of that house's business; afflicted, it does the opposite, and the affliction usually arrives as a hard aspect from the ruler of the house it sits in or from a malefic close by. This is where the arithmetic discipline pays off, because printed lots go wrong more often than printed planets. Two of the historical figures we've checked carry a Part of Fortune that is plainly miscalculated — one of them by about 145 degrees, the other landing in the wrong sign and the wrong house — and in both cases a stated testimony rests on the wrong position. In the second of the two, recomputing the lot dissolves two of the five testimonies the astrologer drew from that chart. Recompute the lot before you read anything from it, including in a chart you've been handed by somebody you trust.
Two limits worth holding. First, the Part of Fortune isn't a body, so nothing about it applies or separates and no contact runs from the lot outward — a planet aspects the part, never the reverse, and orbs to it are tight. Second, it doesn't settle a question. Fortune sitting in the house of the matter is a pleasant piece of supporting evidence about the matter's material worth; it isn't a route to yes, and a chart with no perfection between the significators is still a no with Fortune wherever you like.
In your chart
iHorary computes the Part of Fortune on Lilly's unreversed formula — ASC + Moon − Sun, day and night — draws it on the wheel as a point in its own right, and reports it in a planet's dossier when the two share a sign or the planet rules its sign. The judgment engine reads it three ways, all as minor positive testimony: the part standing in the house of the matter, and the part's ruler turning out to be either the querent's significator or the matter's. None of the three is treated as a perfection, so none of them can produce a yes by itself.
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