Finding the Fourth Proportional to 2,565.41, 3,540.23 and 1,446.35

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.41 : 3,540.23 = 1,446.35 : x
2. Step 2: Convert to fraction form
   2,565.41/3,540.23 = 1,446.35/x
3. Step 3: Cross multiply
   2,565.41x = 3,540.23 × 1,446.35
4. Step 4: Simplify right side
   2,565.41x = 5,120,404.43
5. Step 5: Solve for x
   x = 5,120,404.43/2,565.41
6. Step 6: Final answer
   x = 1,995.94