Finding the Fourth Proportional to 2,002.38, 3,003.55 and 686.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.38 : 3,003.55 = 686.14 : x
2. Step 2: Convert to fraction form
   2,002.38/3,003.55 = 686.14/x
3. Step 3: Cross multiply
   2,002.38x = 3,003.55 × 686.14
4. Step 4: Simplify right side
   2,002.38x = 2,060,855.80
5. Step 5: Solve for x
   x = 2,060,855.80/2,002.38
6. Step 6: Final answer
   x = 1,029.20