This trophy seems pretty straight forward. Collect $700 worth of rent at once. There's one minor problem: if the player goes bankrupt while paying you rent, it doesn't count. So if rent is $1500 and they can only collect $1000, it doesn't count even though you got $1000 worth of rent.
This can easily be done locally. Build up some property and wait for the other player (potentially also controlled by you) to land on it. Trade them enough to pay the rent and survive the round. Once they've paid, the trophy unlocks.