Finding the Fourth Proportional to 10,414.58, 14,372.12 and 5,698.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.58 : 14,372.12 = 5,698.86 : x
2. Step 2: Convert to fraction form
   10,414.58/14,372.12 = 5,698.86/x
3. Step 3: Cross multiply
   10,414.58x = 14,372.12 × 5,698.86
4. Step 4: Simplify right side
   10,414.58x = 81,904,699.78
5. Step 5: Solve for x
   x = 81,904,699.78/10,414.58
6. Step 6: Final answer
   x = 7,864.43