Finding the Fourth Proportional to 2,565.39, 3,540.31 and 1,446.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.39 : 3,540.31 = 1,446.37 : x
2. Step 2: Convert to fraction form
   2,565.39/3,540.31 = 1,446.37/x
3. Step 3: Cross multiply
   2,565.39x = 3,540.31 × 1,446.37
4. Step 4: Simplify right side
   2,565.39x = 5,120,585.71
5. Step 5: Solve for x
   x = 5,120,585.71/2,565.39
6. Step 6: Final answer
   x = 1,996.03