Finding the Fourth Proportional to 9,892.50, 13,651.65 and 5,702.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,892.50 : 13,651.65 = 5,702.10 : x
2. Step 2: Convert to fraction form
   9,892.50/13,651.65 = 5,702.10/x
3. Step 3: Cross multiply
   9,892.50x = 13,651.65 × 5,702.10
4. Step 4: Simplify right side
   9,892.50x = 77,843,073.47
5. Step 5: Solve for x
   x = 77,843,073.47/9,892.50
6. Step 6: Final answer
   x = 7,868.90