Finding the Fourth Proportional to 10,147.48, 13,983.60 and 7,760.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,147.48 : 13,983.60 = 7,760.16 : x
2. Step 2: Convert to fraction form
   10,147.48/13,983.60 = 7,760.16/x
3. Step 3: Cross multiply
   10,147.48x = 13,983.60 × 7,760.16
4. Step 4: Simplify right side
   10,147.48x = 108,514,973.38
5. Step 5: Solve for x
   x = 108,514,973.38/10,147.48
6. Step 6: Final answer
   x = 10,693.79