Finding the Fourth Proportional to 10,414.83, 14,372.43 and 5,699.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.83 : 14,372.43 = 5,699.10 : x
2. Step 2: Convert to fraction form
   10,414.83/14,372.43 = 5,699.10/x
3. Step 3: Cross multiply
   10,414.83x = 14,372.43 × 5,699.10
4. Step 4: Simplify right side
   10,414.83x = 81,909,915.81
5. Step 5: Solve for x
   x = 81,909,915.81/10,414.83
6. Step 6: Final answer
   x = 7,864.74