Finding the Fourth Proportional to 10,418.34, 14,376.96 and 5,702.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,418.34 : 14,376.96 = 5,702.52 : x
2. Step 2: Convert to fraction form
   10,418.34/14,376.96 = 5,702.52/x
3. Step 3: Cross multiply
   10,418.34x = 14,376.96 × 5,702.52
4. Step 4: Simplify right side
   10,418.34x = 81,984,901.94
5. Step 5: Solve for x
   x = 81,984,901.94/10,418.34
6. Step 6: Final answer
   x = 7,869.29