Finding the Fourth Proportional to 15,096, 22,649.76 and 5,862.72

Step by Step Solution

1. Step 1: Write the proportion equation
   15,096 : 22,649.76 = 5,862.72 : x
2. Step 2: Convert to fraction form
   15,096/22,649.76 = 5,862.72/x
3. Step 3: Cross multiply
   15,096x = 22,649.76 × 5,862.72
4. Step 4: Simplify right side
   15,096x = 132,789,200.95
5. Step 5: Solve for x
   x = 132,789,200.95/15,096
6. Step 6: Final answer
   x = 8,796.32