Finding the Fourth Proportional to 2,567.24, 3,849.12 and 1,006.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,567.24 : 3,849.12 = 1,006.27 : x
2. Step 2: Convert to fraction form
   2,567.24/3,849.12 = 1,006.27/x
3. Step 3: Cross multiply
   2,567.24x = 3,849.12 × 1,006.27
4. Step 4: Simplify right side
   2,567.24x = 3,873,241.65
5. Step 5: Solve for x
   x = 3,873,241.65/2,567.24
6. Step 6: Final answer
   x = 1,508.72