On Contributions, log each deposit with the unit price at the time (start at 1.00 for the founding deposits); units issued compute automatically. On Valuation, enter what the whole fund is worth today and the current unit price updates. Member Equity then shows each person's units, what they contributed, what it's worth now, and their gain — in green or red.
Because everyone buys in at the price of the day, later money at a higher unit price buys fewer units, and earlier money is rewarded — fairly, transparently, and with no argument. It's the same method professional funds use, sized for a chama.