Finding the Fourth Proportional to 1,383.05, 1,908.52 and 823.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,383.05 : 1,908.52 = 823.56 : x
2. Step 2: Convert to fraction form
   1,383.05/1,908.52 = 823.56/x
3. Step 3: Cross multiply
   1,383.05x = 1,908.52 × 823.56
4. Step 4: Simplify right side
   1,383.05x = 1,571,778.67
5. Step 5: Solve for x
   x = 1,571,778.67/1,383.05
6. Step 6: Final answer
   x = 1,136.46