Finding the Fourth Proportional to 2,569.98, 3,854.80 and 1,010.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.98 : 3,854.80 = 1,010.25 : x
2. Step 2: Convert to fraction form
   2,569.98/3,854.80 = 1,010.25/x
3. Step 3: Cross multiply
   2,569.98x = 3,854.80 × 1,010.25
4. Step 4: Simplify right side
   2,569.98x = 3,894,308.04
5. Step 5: Solve for x
   x = 3,894,308.04/2,569.98
6. Step 6: Final answer
   x = 1,515.31