Finding the Fourth Proportional to 2,565.36, 3,849.72 and 1,411.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.36 : 3,849.72 = 1,411.92 : x
2. Step 2: Convert to fraction form
   2,565.36/3,849.72 = 1,411.92/x
3. Step 3: Cross multiply
   2,565.36x = 3,849.72 × 1,411.92
4. Step 4: Simplify right side
   2,565.36x = 5,435,496.66
5. Step 5: Solve for x
   x = 5,435,496.66/2,565.36
6. Step 6: Final answer
   x = 2,118.80