Finding the Fourth Proportional to 1,524.12, 2,103.30 and 825.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,524.12 : 2,103.30 = 825.50 : x
2. Step 2: Convert to fraction form
   1,524.12/2,103.30 = 825.50/x
3. Step 3: Cross multiply
   1,524.12x = 2,103.30 × 825.50
4. Step 4: Simplify right side
   1,524.12x = 1,736,274.15
5. Step 5: Solve for x
   x = 1,736,274.15/1,524.12
6. Step 6: Final answer
   x = 1,139.20