Finding the Fourth Proportional to 9,747.88, 13,451.62 and 5,715.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,747.88 : 13,451.62 = 5,715.40 : x
2. Step 2: Convert to fraction form
   9,747.88/13,451.62 = 5,715.40/x
3. Step 3: Cross multiply
   9,747.88x = 13,451.62 × 5,715.40
4. Step 4: Simplify right side
   9,747.88x = 76,881,388.95
5. Step 5: Solve for x
   x = 76,881,388.95/9,747.88
6. Step 6: Final answer
   x = 7,886.99