Finding the Fourth Proportional to 2,569.10, 3,854.15 and 925.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.10 : 3,854.15 = 925.78 : x
2. Step 2: Convert to fraction form
   2,569.10/3,854.15 = 925.78/x
3. Step 3: Cross multiply
   2,569.10x = 3,854.15 × 925.78
4. Step 4: Simplify right side
   2,569.10x = 3,568,094.99
5. Step 5: Solve for x
   x = 3,568,094.99/2,569.10
6. Step 6: Final answer
   x = 1,388.85