Finding the Fourth Proportional to 12,864.09, 17,760.42 and 9,874.20

Step by Step Solution

1. Step 1: Write the proportion equation
   12,864.09 : 17,760.42 = 9,874.20 : x
2. Step 2: Convert to fraction form
   12,864.09/17,760.42 = 9,874.20/x
3. Step 3: Cross multiply
   12,864.09x = 17,760.42 × 9,874.20
4. Step 4: Simplify right side
   12,864.09x = 175,369,939.16
5. Step 5: Solve for x
   x = 175,369,939.16/12,864.09
6. Step 6: Final answer
   x = 13,632.52