Finding the Fourth Proportional to 1,382.82, 1,908.29 and 823.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,382.82 : 1,908.29 = 823.31 : x
2. Step 2: Convert to fraction form
   1,382.82/1,908.29 = 823.31/x
3. Step 3: Cross multiply
   1,382.82x = 1,908.29 × 823.31
4. Step 4: Simplify right side
   1,382.82x = 1,571,104.70
5. Step 5: Solve for x
   x = 1,571,104.70/1,382.82
6. Step 6: Final answer
   x = 1,136.16