Blake was supposed to pay Li Jun $$6,700,6$ months ago, and $$1,540,5$ months from now. If he wants to reschedule these payments with two payments, one payment of $$3,600$ today and the balance $3$ months from now, calculate the balance amount. Assume that the simple interest charged is $4\mathrm{.}50\%$ p$.$a$.$ and the agreed focal date is $3$ months from now.