Finding the Fourth Proportional to 1,382.23, 1,907.35 and 822.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,382.23 : 1,907.35 = 822.83 : x
2. Step 2: Convert to fraction form
   1,382.23/1,907.35 = 822.83/x
3. Step 3: Cross multiply
   1,382.23x = 1,907.35 × 822.83
4. Step 4: Simplify right side
   1,382.23x = 1,569,413.21
5. Step 5: Solve for x
   x = 1,569,413.21/1,382.23
6. Step 6: Final answer
   x = 1,135.42