Finding the Fourth Proportional to 2,569.78, 3,854.64 and 1,031.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.78 : 3,854.64 = 1,031.86 : x
2. Step 2: Convert to fraction form
   2,569.78/3,854.64 = 1,031.86/x
3. Step 3: Cross multiply
   2,569.78x = 3,854.64 × 1,031.86
4. Step 4: Simplify right side
   2,569.78x = 3,977,448.83
5. Step 5: Solve for x
   x = 3,977,448.83/2,569.78
6. Step 6: Final answer
   x = 1,547.78