Finding the Fourth Proportional to 1,446.50, 1,996.30 and 825.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,446.50 : 1,996.30 = 825.50 : x
2. Step 2: Convert to fraction form
   1,446.50/1,996.30 = 825.50/x
3. Step 3: Cross multiply
   1,446.50x = 1,996.30 × 825.50
4. Step 4: Simplify right side
   1,446.50x = 1,647,945.65
5. Step 5: Solve for x
   x = 1,647,945.65/1,446.50
6. Step 6: Final answer
   x = 1,139.26