Finding the Fourth Proportional to 1,524.61, 2,103.96 and 825.99

Step by Step Solution

1. Step 1: Write the proportion equation
   1,524.61 : 2,103.96 = 825.99 : x
2. Step 2: Convert to fraction form
   1,524.61/2,103.96 = 825.99/x
3. Step 3: Cross multiply
   1,524.61x = 2,103.96 × 825.99
4. Step 4: Simplify right side
   1,524.61x = 1,737,839.40
5. Step 5: Solve for x
   x = 1,737,839.40/1,524.61
6. Step 6: Final answer
   x = 1,139.86