Finding the Fourth Proportional to 1,383.23, 1,908.54 and 823.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,383.23 : 1,908.54 = 823.92 : x
2. Step 2: Convert to fraction form
   1,383.23/1,908.54 = 823.92/x
3. Step 3: Cross multiply
   1,383.23x = 1,908.54 × 823.92
4. Step 4: Simplify right side
   1,383.23x = 1,572,485.54
5. Step 5: Solve for x
   x = 1,572,485.54/1,383.23
6. Step 6: Final answer
   x = 1,136.82