Finding the Fourth Proportional to 1,382.49, 1,908.23 and 822.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,382.49 : 1,908.23 = 822.78 : x
2. Step 2: Convert to fraction form
   1,382.49/1,908.23 = 822.78/x
3. Step 3: Cross multiply
   1,382.49x = 1,908.23 × 822.78
4. Step 4: Simplify right side
   1,382.49x = 1,570,049.37
5. Step 5: Solve for x
   x = 1,570,049.37/1,382.49
6. Step 6: Final answer
   x = 1,135.67