Finding the Fourth Proportional to 1,524.02, 2,103.15 and 825.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,524.02 : 2,103.15 = 825.40 : x
2. Step 2: Convert to fraction form
   1,524.02/2,103.15 = 825.40/x
3. Step 3: Cross multiply
   1,524.02x = 2,103.15 × 825.40
4. Step 4: Simplify right side
   1,524.02x = 1,735,929.49
5. Step 5: Solve for x
   x = 1,735,929.49/1,524.02
6. Step 6: Final answer
   x = 1,139.05