Suppose you take a $10-$year mortgage for a house that costs $$291,976.$

Assume the following:

The annual interest rate on the mortgage is $4\%.$

The bank requires a minimum down payment of $13\%$ of the cost of the

house.

The annual property tax is $1\mathrm{.}6\%$ of the cost of the house.

The annual homeowner's insurance is $$953.$

The monthly PMI is $$86.$

Your other long$-$term debts require payments of $$1,840$ per month.

If you make the minimum down payment, what is the minimum gross monthly

salary you must earn in order to satisfy the $36\%$ rule?