Jim has an annual income of $$242284.$

Jim is looking to buy a house with monthly property taxes of $$172$ and monthly homeowner$$s insurance of $$266.$

He also has $$281$ in monthly student loan payments.

Mes bank has a maximum back$-$end PTI limit of $39\%.$

Based on the back$-$end PTI limit$,$ what is the most Mes Bank will allow Jim to spend on mortgage payment $($principal$+$interest$)$ every month?