Elon has misplaced the sales contract for his car and cannot remember the amount he originally financed. He does know that the add$-$on interest rate was $4\mathrm{.}5\%$ and the loan required a total of $36$ monthly payments of $$314\mathrm{.}81$ each. How much did Elon borrow?

The amount that Elon borrowed is $ $.$

$($Round to the nearest dollar as needed.$)$