Finding the Fourth Proportional to 2,002.08, 3,003.18 and 685.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.08 : 3,003.18 = 685.80 : x
2. Step 2: Convert to fraction form
   2,002.08/3,003.18 = 685.80/x
3. Step 3: Cross multiply
   2,002.08x = 3,003.18 × 685.80
4. Step 4: Simplify right side
   2,002.08x = 2,059,580.84
5. Step 5: Solve for x
   x = 2,059,580.84/2,002.08
6. Step 6: Final answer
   x = 1,028.72