Finding the Fourth Proportional to 2,566.82, 3,831.66 and 2,255.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.82 : 3,831.66 = 2,255.42 : x
2. Step 2: Convert to fraction form
   2,566.82/3,831.66 = 2,255.42/x
3. Step 3: Cross multiply
   2,566.82x = 3,831.66 × 2,255.42
4. Step 4: Simplify right side
   2,566.82x = 8,642,003.72
5. Step 5: Solve for x
   x = 8,642,003.72/2,566.82
6. Step 6: Final answer
   x = 3,366.82