Finding the Fourth Proportional to 2,566.69, 3,831.47 and 2,255.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.69 : 3,831.47 = 2,255.30 : x
2. Step 2: Convert to fraction form
   2,566.69/3,831.47 = 2,255.30/x
3. Step 3: Cross multiply
   2,566.69x = 3,831.47 × 2,255.30
4. Step 4: Simplify right side
   2,566.69x = 8,641,104.71
5. Step 5: Solve for x
   x = 8,641,104.71/2,566.69
6. Step 6: Final answer
   x = 3,366.63