Finding the Fourth Proportional to 12,940.80, 17,853.12 and 9,396.24

Step by Step Solution

1. Step 1: Write the proportion equation
   12,940.80 : 17,853.12 = 9,396.24 : x
2. Step 2: Convert to fraction form
   12,940.80/17,853.12 = 9,396.24/x
3. Step 3: Cross multiply
   12,940.80x = 17,853.12 × 9,396.24
4. Step 4: Simplify right side
   12,940.80x = 167,752,200.27
5. Step 5: Solve for x
   x = 167,752,200.27/12,940.80
6. Step 6: Final answer
   x = 12,963.05