Finding the Fourth Proportional to 9,288.24, 12,817.56 and 5,096.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,288.24 : 12,817.56 = 5,096.40 : x
2. Step 2: Convert to fraction form
   9,288.24/12,817.56 = 5,096.40/x
3. Step 3: Cross multiply
   9,288.24x = 12,817.56 × 5,096.40
4. Step 4: Simplify right side
   9,288.24x = 65,323,412.78
5. Step 5: Solve for x
   x = 65,323,412.78/9,288.24
6. Step 6: Final answer
   x = 7,032.92