Finding the Fourth Proportional to 2,569.59, 3,854.49 and 1,009.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.59 : 3,854.49 = 1,009.46 : x
2. Step 2: Convert to fraction form
   2,569.59/3,854.49 = 1,009.46/x
3. Step 3: Cross multiply
   2,569.59x = 3,854.49 × 1,009.46
4. Step 4: Simplify right side
   2,569.59x = 3,890,934.20
5. Step 5: Solve for x
   x = 3,890,934.20/2,569.59
6. Step 6: Final answer
   x = 1,514.22