It has been $5$ and a half years since you have started your career out of college at W$.$P$.$ Carey Inc. In those $5$ and a half years you saved $$500$ at the end of each month and placed this money in your Charles Schwab investing account. You realized that you have a bright future ahead of you with a few challenging goals in mind. In $25$ years, you would like the buy your dream home for $$4,500,000$ in cash. You would also like to retire in $35$ years. For $25$ years after retirement, you would like to receive an income of $$30,000$ at the beginning of each month which will grow at $2\mathrm{.}5\%$ EAR. You would also like to purchase a lake$-$house where your family can vacation $10$ years into retirement, which will have a required monthly payment of $$7,325$ for $15$ years. You would like to leave a trust with $$1,000,000$ for each of your three children which they can access in $60$ years from now. The EAR from five years ago until $35$ years from now is $12\%$ and the EAR after retirement starts is $9\%.$

What is the amount of money you need to put into your Charles Schwab investing account from now until you buy your dream house at the end of each month to feasibly accomplish all of these goals?