Finding the Fourth Proportional to 2,565.30, 3,540.12 and 1,446.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.30 : 3,540.12 = 1,446.25 : x
2. Step 2: Convert to fraction form
   2,565.30/3,540.12 = 1,446.25/x
3. Step 3: Cross multiply
   2,565.30x = 3,540.12 × 1,446.25
4. Step 4: Simplify right side
   2,565.30x = 5,119,898.55
5. Step 5: Solve for x
   x = 5,119,898.55/2,565.30
6. Step 6: Final answer
   x = 1,995.83