Find the final amount in the following retirement account, in which the rate of return on the account and the regular contribution change over time.

$$350$ per month invested at $4\%,$ compounded monthly, for $5$ years; then $$534$ per month invested at $7\%,$ compounded monthly, for $5$ years.

What is the amount in the account after $10$ years?

$ $($Do not round until the final answer. Then round to the nearest dollar as needed.$)$