Finding the Fourth Proportional to 1,603.29, 2,404.43 and 823.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,603.29 : 2,404.43 = 823.06 : x
2. Step 2: Convert to fraction form
   1,603.29/2,404.43 = 823.06/x
3. Step 3: Cross multiply
   1,603.29x = 2,404.43 × 823.06
4. Step 4: Simplify right side
   1,603.29x = 1,978,974.02
5. Step 5: Solve for x
   x = 1,978,974.02/1,603.29
6. Step 6: Final answer
   x = 1,234.32