Finding the Fourth Proportional to 11,096.16, 15,301.20 and 7,742.88

Step by Step Solution

1. Step 1: Write the proportion equation
   11,096.16 : 15,301.20 = 7,742.88 : x
2. Step 2: Convert to fraction form
   11,096.16/15,301.20 = 7,742.88/x
3. Step 3: Cross multiply
   11,096.16x = 15,301.20 × 7,742.88
4. Step 4: Simplify right side
   11,096.16x = 118,475,355.46
5. Step 5: Solve for x
   x = 118,475,355.46/11,096.16
6. Step 6: Final answer
   x = 10,677.15