Finding the Fourth Proportional to 1,323.29, 1,825.69 and 825.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,323.29 : 1,825.69 = 825.74 : x
2. Step 2: Convert to fraction form
   1,323.29/1,825.69 = 825.74/x
3. Step 3: Cross multiply
   1,323.29x = 1,825.69 × 825.74
4. Step 4: Simplify right side
   1,323.29x = 1,507,552.73
5. Step 5: Solve for x
   x = 1,507,552.73/1,323.29
6. Step 6: Final answer
   x = 1,139.25