Finding the Fourth Proportional to 1,323.83, 1,825.88 and 825.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,323.83 : 1,825.88 = 825.55 : x
2. Step 2: Convert to fraction form
   1,323.83/1,825.88 = 825.55/x
3. Step 3: Cross multiply
   1,323.83x = 1,825.88 × 825.55
4. Step 4: Simplify right side
   1,323.83x = 1,507,346.54
5. Step 5: Solve for x
   x = 1,507,346.54/1,323.83
6. Step 6: Final answer
   x = 1,138.62