Finding the Fourth Proportional to 10,417.83, 14,376.57 and 5,702.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,417.83 : 14,376.57 = 5,702.10 : x
2. Step 2: Convert to fraction form
   10,417.83/14,376.57 = 5,702.10/x
3. Step 3: Cross multiply
   10,417.83x = 14,376.57 × 5,702.10
4. Step 4: Simplify right side
   10,417.83x = 81,976,639.80
5. Step 5: Solve for x
   x = 81,976,639.80/10,417.83
6. Step 6: Final answer
   x = 7,868.88