Finding the Fourth Proportional to 1,524.50, 2,103.82 and 825.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,524.50 : 2,103.82 = 825.88 : x
2. Step 2: Convert to fraction form
   1,524.50/2,103.82 = 825.88/x
3. Step 3: Cross multiply
   1,524.50x = 2,103.82 × 825.88
4. Step 4: Simplify right side
   1,524.50x = 1,737,502.86
5. Step 5: Solve for x
   x = 1,737,502.86/1,524.50
6. Step 6: Final answer
   x = 1,139.72