Krista borrowed $$14,840.$ The loan is to be repaid by three equal payments due in $97,179,$ and $280$ days from now

respectively. Determine the size of the equal payments at an interest rate of $4\%$ with a focal date of today.

The size of the equal payments is $$5046\mathrm{.}81,$

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