Finding the Fourth Proportional to 9,142.88, 13,709.92 and 3,872.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,142.88 : 13,709.92 = 3,872.48 : x
2. Step 2: Convert to fraction form
   9,142.88/13,709.92 = 3,872.48/x
3. Step 3: Cross multiply
   9,142.88x = 13,709.92 × 3,872.48
4. Step 4: Simplify right side
   9,142.88x = 53,091,391.00
5. Step 5: Solve for x
   x = 53,091,391.00/9,142.88
6. Step 6: Final answer
   x = 5,806.86