Finding the Fourth Proportional to 10,418.48, 14,377.52 and 5,702.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,418.48 : 14,377.52 = 5,702.76 : x
2. Step 2: Convert to fraction form
   10,418.48/14,377.52 = 5,702.76/x
3. Step 3: Cross multiply
   10,418.48x = 14,377.52 × 5,702.76
4. Step 4: Simplify right side
   10,418.48x = 81,991,545.96
5. Step 5: Solve for x
   x = 81,991,545.96/10,418.48
6. Step 6: Final answer
   x = 7,869.82