Finding the Fourth Proportional to 9,392.27, 12,960.63 and 5,142.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,392.27 : 12,960.63 = 5,142.40 : x
2. Step 2: Convert to fraction form
   9,392.27/12,960.63 = 5,142.40/x
3. Step 3: Cross multiply
   9,392.27x = 12,960.63 × 5,142.40
4. Step 4: Simplify right side
   9,392.27x = 66,648,711.31
5. Step 5: Solve for x
   x = 66,648,711.31/9,392.27
6. Step 6: Final answer
   x = 7,096.13