Finding the Fourth Proportional to 2,569.08, 3,851.46 and 1,029.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.08 : 3,851.46 = 1,029.24 : x
2. Step 2: Convert to fraction form
   2,569.08/3,851.46 = 1,029.24/x
3. Step 3: Cross multiply
   2,569.08x = 3,851.46 × 1,029.24
4. Step 4: Simplify right side
   2,569.08x = 3,964,076.69
5. Step 5: Solve for x
   x = 3,964,076.69/2,569.08
6. Step 6: Final answer
   x = 1,542.99