Finding the Fourth Proportional to 2,565.78, 3,540.33 and 1,446.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.78 : 3,540.33 = 1,446.60 : x
2. Step 2: Convert to fraction form
   2,565.78/3,540.33 = 1,446.60/x
3. Step 3: Cross multiply
   2,565.78x = 3,540.33 × 1,446.60
4. Step 4: Simplify right side
   2,565.78x = 5,121,441.38
5. Step 5: Solve for x
   x = 5,121,441.38/2,565.78
6. Step 6: Final answer
   x = 1,996.06