Hajun turns 30 this year and begins to think about retirement. He calculates that he will need \(\$ 1,200,000\) to retire comfortably. He finds a fund to invest in that yields \(7.23 \%\) and is compounded monthly. How much will Hajun need to invest in the fund when he turns 30 so that he can reach his goal when he retires at age 65 ?