Finding the Fourth Proportional to 2,567.98, 3,850.48 and 1,006.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,567.98 : 3,850.48 = 1,006.15 : x
2. Step 2: Convert to fraction form
   2,567.98/3,850.48 = 1,006.15/x
3. Step 3: Cross multiply
   2,567.98x = 3,850.48 × 1,006.15
4. Step 4: Simplify right side
   2,567.98x = 3,874,167.56
5. Step 5: Solve for x
   x = 3,874,167.56/2,567.98
6. Step 6: Final answer
   x = 1,508.65