Finding the Fourth Proportional to 9,288.26, 12,817.29 and 5,096.18

Step by Step Solution

1. Step 1: Write the proportion equation
   9,288.26 : 12,817.29 = 5,096.18 : x
2. Step 2: Convert to fraction form
   9,288.26/12,817.29 = 5,096.18/x
3. Step 3: Cross multiply
   9,288.26x = 12,817.29 × 5,096.18
4. Step 4: Simplify right side
   9,288.26x = 65,319,216.95
5. Step 5: Solve for x
   x = 65,319,216.95/9,288.26
6. Step 6: Final answer
   x = 7,032.45