Show me the steps to solve $(20$ points$)$ How much you should deposit every quarter from now $($the first deposit will be

at the end of quarter $1)$ for $3$ years $($years $1$ to $3)$ in order to be able to withdraw the

following amounts if the interest rate is $12\%$ per year compounding quarterly.

End of the year Amount $($$$)$

$412,000$

$512,000$

$618,000$

$722,000$

$822,000$