Finding the Fourth Proportional to 1,524.51, 2,103.83 and 825.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,524.51 : 2,103.83 = 825.89 : x
2. Step 2: Convert to fraction form
   1,524.51/2,103.83 = 825.89/x
3. Step 3: Cross multiply
   1,524.51x = 2,103.83 × 825.89
4. Step 4: Simplify right side
   1,524.51x = 1,737,517.51
5. Step 5: Solve for x
   x = 1,737,517.51/1,524.51
6. Step 6: Final answer
   x = 1,139.72