Finding the Fourth Proportional to 10,417.98, 14,377.17 and 5,702.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,417.98 : 14,377.17 = 5,702.25 : x
2. Step 2: Convert to fraction form
   10,417.98/14,377.17 = 5,702.25/x
3. Step 3: Cross multiply
   10,417.98x = 14,377.17 × 5,702.25
4. Step 4: Simplify right side
   10,417.98x = 81,982,217.63
5. Step 5: Solve for x
   x = 81,982,217.63/10,417.98
6. Step 6: Final answer
   x = 7,869.30