c$)$ Leo is planning to purchase a home for $$879,500$ in Charleston, SC$.$ He intends making a down payment of $$88,000$ and borrowing the remaining amount with a $30-$year fixed rate mortgage with monthly payments. The first payment is due a month from now. The current mortgage rates are quoted at $4\mathrm{.}5\%$ per year with a monthly compounding. How much would Leo's monthly mortgage payment be$?$