Finding the Fourth Proportional to 1,524.59, 2,103.94 and 825.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,524.59 : 2,103.94 = 825.96 : x
2. Step 2: Convert to fraction form
   1,524.59/2,103.94 = 825.96/x
3. Step 3: Cross multiply
   1,524.59x = 2,103.94 × 825.96
4. Step 4: Simplify right side
   1,524.59x = 1,737,779.20
5. Step 5: Solve for x
   x = 1,737,779.20/1,524.59
6. Step 6: Final answer
   x = 1,139.83