Finding the Fourth Proportional to 9,731.76, 14,581.17 and 7,665.18

Step by Step Solution

1. Step 1: Write the proportion equation
   9,731.76 : 14,581.17 = 7,665.18 : x
2. Step 2: Convert to fraction form
   9,731.76/14,581.17 = 7,665.18/x
3. Step 3: Cross multiply
   9,731.76x = 14,581.17 × 7,665.18
4. Step 4: Simplify right side
   9,731.76x = 111,767,292.66
5. Step 5: Solve for x
   x = 111,767,292.66/9,731.76
6. Step 6: Final answer
   x = 11,484.80