Finding the Fourth Proportional to 10,414.80, 14,371.79 and 5,698.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.80 : 14,371.79 = 5,698.17 : x
2. Step 2: Convert to fraction form
   10,414.80/14,371.79 = 5,698.17/x
3. Step 3: Cross multiply
   10,414.80x = 14,371.79 × 5,698.17
4. Step 4: Simplify right side
   10,414.80x = 81,892,874.13
5. Step 5: Solve for x
   x = 81,892,874.13/10,414.80
6. Step 6: Final answer
   x = 7,863.12