Jane was due to make loan payments of $$1827$ eight months ago, $$3134$ six month ago, and $$867$ in five months. Instead, she is to make a single payment today. If money is worth $5\mathrm{.}3\%$ 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.$)$