Finding the Fourth Proportional to 9,288.42, 12,817.92 and 5,096.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,288.42 : 12,817.92 = 5,096.64 : x
2. Step 2: Convert to fraction form
   9,288.42/12,817.92 = 5,096.64/x
3. Step 3: Cross multiply
   9,288.42x = 12,817.92 × 5,096.64
4. Step 4: Simplify right side
   9,288.42x = 65,328,323.79
5. Step 5: Solve for x
   x = 65,328,323.79/9,288.42
6. Step 6: Final answer
   x = 7,033.31