Jane was due to make loan payments of $$1468$ eight months ago, $$3472$ five month ago, and $$874$ in five months. Instead, she is to make a single payment today. If money is worth $5\mathrm{.}2\%$ and the agreed focal date is today, what is the size of the replacement payment?

The replacement payment is $

$($Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.$)$