Suppose you take a $15-$year mortgage for a house that costs $$226,749.$ Assume the following:The annual interest rate on the mortgage is $4\mathrm{.}7\%.$The bank requires a minimum down payment of $8\%$ of the cost of the house.The annual property tax is $1\mathrm{.}5\%$ of the cost of the house.The annual homeowner's insurance is $$699.$The monthly PMI is $$59.$If you make the minimum down payment, what is the minimum gross monthly salary you must earn in order to satisfy the $28\%$ rule?Round your answer to the nearest dollar.