4147.21 = m - [98 + (.035m) + (.015m) + (.062m) + (.0145m) ]

Solve for m over the real numbers:

4147.21 = m - (0.062 m + 0.035 m + 0.015 m + 0.0145 m + 98)

4147.21 = 414721/100 and m - (0.062 m + 0.035 m + 0.015 m + 0.0145 m + 98) = (1747 m) / 2000 - 98:

414721/100 = (1747 m) / 2000 - 98

414721/100 = (1747 m) / 2000 - 98 is equivalent to (1747 m) / 2000 - 98 = 414721/100:

(1747 m) / 2000 - 98 = 414721/100

Add 98 to both sides:

(1747 m) / 2000 = 424521/100

Multiply both sides by 2000/1747:

Answer: m = 4860