Finding the Fourth Proportional to 2,565.37, 3,540 and 1,446.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.37 : 3,540 = 1,446.49 : x
2. Step 2: Convert to fraction form
   2,565.37/3,540 = 1,446.49/x
3. Step 3: Cross multiply
   2,565.37x = 3,540 × 1,446.49
4. Step 4: Simplify right side
   2,565.37x = 5,120,574.60
5. Step 5: Solve for x
   x = 5,120,574.60/2,565.37
6. Step 6: Final answer
   x = 1,996.04