Finding the Fourth Proportional to 10,407.02, 14,361.82 and 5,691.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,407.02 : 14,361.82 = 5,691.30 : x
2. Step 2: Convert to fraction form
   10,407.02/14,361.82 = 5,691.30/x
3. Step 3: Cross multiply
   10,407.02x = 14,361.82 × 5,691.30
4. Step 4: Simplify right side
   10,407.02x = 81,737,426.17
5. Step 5: Solve for x
   x = 81,737,426.17/10,407.02
6. Step 6: Final answer
   x = 7,854.07