You decide to buy a house for a total of $$174,036.$ To get a mortgage loan, you make a $10\%$ down payment, and the bank will lend you the rest. The interest rate quoted for this loan is $4\%$ APR, and the loan will be paid $($and interest compounded$)$ every month, for the next $30$ years. How much is the TOTAL monthly payment for this mortgage?

Enter your answer in dollars, rounded to the nearest cent $(2$ decimals$),$ and without the dollar sign $(\text{'}$$$\text{'}).$ For example, if your answer is $$123,456\mathrm{.}789,$ just enter $123456\mathrm{.}79$