Finding the Fourth Proportional to 9,251.76, 12,766.96 and 5,715.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,251.76 : 12,766.96 = 5,715.28 : x
2. Step 2: Convert to fraction form
   9,251.76/12,766.96 = 5,715.28/x
3. Step 3: Cross multiply
   9,251.76x = 12,766.96 × 5,715.28
4. Step 4: Simplify right side
   9,251.76x = 72,966,751.15
5. Step 5: Solve for x
   x = 72,966,751.15/9,251.76
6. Step 6: Final answer
   x = 7,886.80