Finding the Fourth Proportional to 2,565.89, 3,540.94 and 1,446.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.89 : 3,540.94 = 1,446.71 : x
2. Step 2: Convert to fraction form
   2,565.89/3,540.94 = 1,446.71/x
3. Step 3: Cross multiply
   2,565.89x = 3,540.94 × 1,446.71
4. Step 4: Simplify right side
   2,565.89x = 5,122,718.54
5. Step 5: Solve for x
   x = 5,122,718.54/2,565.89
6. Step 6: Final answer
   x = 1,996.47