Christine was supposed to pay Allison $$6,1006$ months ago and $$1,840$ in $5$ months. If she wants to repay this amount with two equivalent payments of $$3,700$ today and the balance amount in $3$ months, calculate the balance amount. Assume interest is $2\mathrm{.}20\%$ p$.$a$.$ and the agreed focal date is $3$ months from now.

Round to the nearest cent.