Finding the Fourth Proportional to 1,553.28, 2,327.82 and 823.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,553.28 : 2,327.82 = 823.38 : x
2. Step 2: Convert to fraction form
   1,553.28/2,327.82 = 823.38/x
3. Step 3: Cross multiply
   1,553.28x = 2,327.82 × 823.38
4. Step 4: Simplify right side
   1,553.28x = 1,916,680.43
5. Step 5: Solve for x
   x = 1,916,680.43/1,553.28
6. Step 6: Final answer
   x = 1,233.96