Finding the Fourth Proportional to 8,116.92, 12,174.69 and 2,569.46

Step by Step Solution

1. Step 1: Write the proportion equation
   8,116.92 : 12,174.69 = 2,569.46 : x
2. Step 2: Convert to fraction form
   8,116.92/12,174.69 = 2,569.46/x
3. Step 3: Cross multiply
   8,116.92x = 12,174.69 × 2,569.46
4. Step 4: Simplify right side
   8,116.92x = 31,282,327.73
5. Step 5: Solve for x
   x = 31,282,327.73/8,116.92
6. Step 6: Final answer
   x = 3,853.97