Finding the Fourth Proportional to 2,569.62, 3,854.16 and 1,009.29

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.62 : 3,854.16 = 1,009.29 : x
2. Step 2: Convert to fraction form
   2,569.62/3,854.16 = 1,009.29/x
3. Step 3: Cross multiply
   2,569.62x = 3,854.16 × 1,009.29
4. Step 4: Simplify right side
   2,569.62x = 3,889,965.15
5. Step 5: Solve for x
   x = 3,889,965.15/2,569.62
6. Step 6: Final answer
   x = 1,513.83