David was supposed to pay Patricia $$5,400,6$ months ago, and $$1,000,5$ months from now. If he wants to reschedule these payments with two payments, one payment of $$2,300$ today and the balance $3$ months from now, calculate the balance amount. Assume that the simple interest charged is $6\mathrm{.}75\%$ p$.$a$.$ and the agreed focal date is $3$ months from now.