Estimate the affordable mortgage amount for the following situation. With a down payment of $20$ percent, lenders use $38$ percent of monthly gross income as a guideline for PITI plus other debt payments. Note: Round time value factor to $2$ decimal places, intermediate and final answers to the nearest whole number.

Mortgage Costs

Monthly gross income $ $3,450$

Down payment to be made $($percent of purchase price$)20$ Percent

Other debt $($monthly payment$)$ $ $220$

Monthly estimate for property taxes and insurance $ $280$

$30-$year loan $7\mathrm{.}0$ Percent

Mortgage payment factor $($principal $+$ interest per $$1,000$ loan$)6\mathrm{.}65$