Finding the Fourth Proportional to 12,871.98, 17,762.51 and 7,205.78

Step by Step Solution

1. Step 1: Write the proportion equation
   12,871.98 : 17,762.51 = 7,205.78 : x
2. Step 2: Convert to fraction form
   12,871.98/17,762.51 = 7,205.78/x
3. Step 3: Cross multiply
   12,871.98x = 17,762.51 × 7,205.78
4. Step 4: Simplify right side
   12,871.98x = 127,992,801.73
5. Step 5: Solve for x
   x = 127,992,801.73/12,871.98
6. Step 6: Final answer
   x = 9,943.52