Finding the Fourth Proportional to 1,382.27, 1,907.48 and 822.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,382.27 : 1,907.48 = 822.83 : x
2. Step 2: Convert to fraction form
   1,382.27/1,907.48 = 822.83/x
3. Step 3: Cross multiply
   1,382.27x = 1,907.48 × 822.83
4. Step 4: Simplify right side
   1,382.27x = 1,569,524.29
5. Step 5: Solve for x
   x = 1,569,524.29/1,382.27
6. Step 6: Final answer
   x = 1,135.47