Finding the Fourth Proportional to 10,417.92, 14,376.72 and 5,702.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,417.92 : 14,376.72 = 5,702.16 : x
2. Step 2: Convert to fraction form
   10,417.92/14,376.72 = 5,702.16/x
3. Step 3: Cross multiply
   10,417.92x = 14,376.72 × 5,702.16
4. Step 4: Simplify right side
   10,417.92x = 81,978,357.72
5. Step 5: Solve for x
   x = 81,978,357.72/10,417.92
6. Step 6: Final answer
   x = 7,868.98