Finding the Fourth Proportional to 2,565.43, 3,540.25 and 1,446.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.43 : 3,540.25 = 1,446.47 : x
2. Step 2: Convert to fraction form
   2,565.43/3,540.25 = 1,446.47/x
3. Step 3: Cross multiply
   2,565.43x = 3,540.25 × 1,446.47
4. Step 4: Simplify right side
   2,565.43x = 5,120,865.42
5. Step 5: Solve for x
   x = 5,120,865.42/2,565.43
6. Step 6: Final answer
   x = 1,996.10