Ryan wants to retire in $10$ years when he turns $65$ but has determined he will need $$1,000,000$ to quit his job and live a lifestyle that is comfortable with him. He currently has $$350,000$ in his $401K$ and plans to save $$850$ per month until his $65$ th birthday. If his investment can earn an average of $9\mathrm{.}75\%$ per year, will he make his goal of $$1,000,000?$ Please show your work and inputs if you use a calculator to solve the problem.