Finding the Fourth Proportional to 9,747.80, 13,451.78 and 5,715.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,747.80 : 13,451.78 = 5,715.62 : x
2. Step 2: Convert to fraction form
   9,747.80/13,451.78 = 5,715.62/x
3. Step 3: Cross multiply
   9,747.80x = 13,451.78 × 5,715.62
4. Step 4: Simplify right side
   9,747.80x = 76,885,234.23
5. Step 5: Solve for x
   x = 76,885,234.23/9,747.80
6. Step 6: Final answer
   x = 7,887.44