Finding the Fourth Proportional to 8,109.38, 12,165.27 and 2,561.47

Step by Step Solution

1. Step 1: Write the proportion equation
   8,109.38 : 12,165.27 = 2,561.47 : x
2. Step 2: Convert to fraction form
   8,109.38/12,165.27 = 2,561.47/x
3. Step 3: Cross multiply
   8,109.38x = 12,165.27 × 2,561.47
4. Step 4: Simplify right side
   8,109.38x = 31,160,943.73
5. Step 5: Solve for x
   x = 31,160,943.73/8,109.38
6. Step 6: Final answer
   x = 3,842.58