Finding the Fourth Proportional to 1,321.73, 1,824.83 and 825.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,321.73 : 1,824.83 = 825.10 : x
2. Step 2: Convert to fraction form
   1,321.73/1,824.83 = 825.10/x
3. Step 3: Cross multiply
   1,321.73x = 1,824.83 × 825.10
4. Step 4: Simplify right side
   1,321.73x = 1,505,671.90
5. Step 5: Solve for x
   x = 1,505,671.90/1,321.73
6. Step 6: Final answer
   x = 1,139.16