You purchase a vehicle for $$57,000,$ pay $$17,000$ as a down$-$payment and finance the remainder. The vehicle loan is to be paid off in equal monthly payments over the next $6$ years. The nominal interest rate on the loan is $12\%$ compounded monthly. Find the value of the payments. The answer is within $$1\mathrm{.}50$ of which of the following?

Question $2$ options:

$781$

$784$

$787$

$790$