Finding the Fourth Proportional to 2,565.37, 3,849.78 and 1,005.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.37 : 3,849.78 = 1,005.18 : x
2. Step 2: Convert to fraction form
   2,565.37/3,849.78 = 1,005.18/x
3. Step 3: Cross multiply
   2,565.37x = 3,849.78 × 1,005.18
4. Step 4: Simplify right side
   2,565.37x = 3,869,721.86
5. Step 5: Solve for x
   x = 3,869,721.86/2,565.37
6. Step 6: Final answer
   x = 1,508.45