Suppose you take a $15-$year mortgage for a house that costs $$263,414.$ Assume the following:

The annual interest rate on the mortgage is $4\mathrm{.}9\%.$

The bank requires a minimum down payment of $5\%$ of the cost of the house.

The annual property tax is $1\mathrm{.}9\%$ of the cost of the house.

The annual homeowner's insurance is $$962.$

The monthly PMI is $$63.$

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.