Finding the Fourth Proportional to 3,868.38, 5,796.69 and 2,565.18

Step by Step Solution

1. Step 1: Write the proportion equation
   3,868.38 : 5,796.69 = 2,565.18 : x
2. Step 2: Convert to fraction form
   3,868.38/5,796.69 = 2,565.18/x
3. Step 3: Cross multiply
   3,868.38x = 5,796.69 × 2,565.18
4. Step 4: Simplify right side
   3,868.38x = 14,869,553.25
5. Step 5: Solve for x
   x = 14,869,553.25/3,868.38
6. Step 6: Final answer
   x = 3,843.87