Finding the Fourth Proportional to 2,565.32, 3,539.78 and 1,446.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.32 : 3,539.78 = 1,446.24 : x
2. Step 2: Convert to fraction form
   2,565.32/3,539.78 = 1,446.24/x
3. Step 3: Cross multiply
   2,565.32x = 3,539.78 × 1,446.24
4. Step 4: Simplify right side
   2,565.32x = 5,119,371.43
5. Step 5: Solve for x
   x = 5,119,371.43/2,565.32
6. Step 6: Final answer
   x = 1,995.61