Finding the Fourth Proportional to 1,383.38, 1,908.22 and 823.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,383.38 : 1,908.22 = 823.48 : x
2. Step 2: Convert to fraction form
   1,383.38/1,908.22 = 823.48/x
3. Step 3: Cross multiply
   1,383.38x = 1,908.22 × 823.48
4. Step 4: Simplify right side
   1,383.38x = 1,571,381.01
5. Step 5: Solve for x
   x = 1,571,381.01/1,383.38
6. Step 6: Final answer
   x = 1,135.90