Finding the Fourth Proportional to 2,002.10, 3,003.41 and 686.11

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.10 : 3,003.41 = 686.11 : x
2. Step 2: Convert to fraction form
   2,002.10/3,003.41 = 686.11/x
3. Step 3: Cross multiply
   2,002.10x = 3,003.41 × 686.11
4. Step 4: Simplify right side
   2,002.10x = 2,060,669.64
5. Step 5: Solve for x
   x = 2,060,669.64/2,002.10
6. Step 6: Final answer
   x = 1,029.25