Finding the Fourth Proportional to 10,414.59, 14,372.14 and 5,698.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.59 : 14,372.14 = 5,698.88 : x
2. Step 2: Convert to fraction form
   10,414.59/14,372.14 = 5,698.88/x
3. Step 3: Cross multiply
   10,414.59x = 14,372.14 × 5,698.88
4. Step 4: Simplify right side
   10,414.59x = 81,905,025.78
5. Step 5: Solve for x
   x = 81,905,025.78/10,414.59
6. Step 6: Final answer
   x = 7,864.45