Finding the Fourth Proportional to 2,002.45, 3,003.81 and 686.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.45 : 3,003.81 = 686.20 : x
2. Step 2: Convert to fraction form
   2,002.45/3,003.81 = 686.20/x
3. Step 3: Cross multiply
   2,002.45x = 3,003.81 × 686.20
4. Step 4: Simplify right side
   2,002.45x = 2,061,214.42
5. Step 5: Solve for x
   x = 2,061,214.42/2,002.45
6. Step 6: Final answer
   x = 1,029.35