Finding the Fourth Proportional to 9,288.14, 12,817.66 and 5,096.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,288.14 : 12,817.66 = 5,096.42 : x
2. Step 2: Convert to fraction form
   9,288.14/12,817.66 = 5,096.42/x
3. Step 3: Cross multiply
   9,288.14x = 12,817.66 × 5,096.42
4. Step 4: Simplify right side
   9,288.14x = 65,324,178.78
5. Step 5: Solve for x
   x = 65,324,178.78/9,288.14
6. Step 6: Final answer
   x = 7,033.07