Finding the Fourth Proportional to 1,326.71, 1,830.71 and 822.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,326.71 : 1,830.71 = 822.33 : x
2. Step 2: Convert to fraction form
   1,326.71/1,830.71 = 822.33/x
3. Step 3: Cross multiply
   1,326.71x = 1,830.71 × 822.33
4. Step 4: Simplify right side
   1,326.71x = 1,505,443.64
5. Step 5: Solve for x
   x = 1,505,443.64/1,326.71
6. Step 6: Final answer
   x = 1,134.72