Finding the Fourth Proportional to 2,569.24, 3,852.12 and 1,008.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.24 : 3,852.12 = 1,008.27 : x
2. Step 2: Convert to fraction form
   2,569.24/3,852.12 = 1,008.27/x
3. Step 3: Cross multiply
   2,569.24x = 3,852.12 × 1,008.27
4. Step 4: Simplify right side
   2,569.24x = 3,883,977.03
5. Step 5: Solve for x
   x = 3,883,977.03/2,569.24
6. Step 6: Final answer
   x = 1,511.72