Finding the Fourth Proportional to 9,909.75, 13,675.71 and 5,602.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,909.75 : 13,675.71 = 5,602.50 : x
2. Step 2: Convert to fraction form
   9,909.75/13,675.71 = 5,602.50/x
3. Step 3: Cross multiply
   9,909.75x = 13,675.71 × 5,602.50
4. Step 4: Simplify right side
   9,909.75x = 76,618,165.28
5. Step 5: Solve for x
   x = 76,618,165.28/9,909.75
6. Step 6: Final answer
   x = 7,731.59