Finding the Fourth Proportional to 10,414.62, 14,371.88 and 5,698.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.62 : 14,371.88 = 5,698.80 : x
2. Step 2: Convert to fraction form
   10,414.62/14,371.88 = 5,698.80/x
3. Step 3: Cross multiply
   10,414.62x = 14,371.88 × 5,698.80
4. Step 4: Simplify right side
   10,414.62x = 81,902,469.74
5. Step 5: Solve for x
   x = 81,902,469.74/10,414.62
6. Step 6: Final answer
   x = 7,864.18