Finding the Fourth Proportional to 1,524.15, 2,103.31 and 825.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,524.15 : 2,103.31 = 825.52 : x
2. Step 2: Convert to fraction form
   1,524.15/2,103.31 = 825.52/x
3. Step 3: Cross multiply
   1,524.15x = 2,103.31 × 825.52
4. Step 4: Simplify right side
   1,524.15x = 1,736,324.47
5. Step 5: Solve for x
   x = 1,736,324.47/1,524.15
6. Step 6: Final answer
   x = 1,139.21