Finding the Fourth Proportional to 9,288.64, 12,818.22 and 5,096.90

Step by Step Solution

1. Step 1: Write the proportion equation
   9,288.64 : 12,818.22 = 5,096.90 : x
2. Step 2: Convert to fraction form
   9,288.64/12,818.22 = 5,096.90/x
3. Step 3: Cross multiply
   9,288.64x = 12,818.22 × 5,096.90
4. Step 4: Simplify right side
   9,288.64x = 65,333,185.52
5. Step 5: Solve for x
   x = 65,333,185.52/9,288.64
6. Step 6: Final answer
   x = 7,033.67