Finding the Fourth Proportional to 1,603.88, 2,403.72 and 823.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,603.88 : 2,403.72 = 823.22 : x
2. Step 2: Convert to fraction form
   1,603.88/2,403.72 = 823.22/x
3. Step 3: Cross multiply
   1,603.88x = 2,403.72 × 823.22
4. Step 4: Simplify right side
   1,603.88x = 1,978,778.36
5. Step 5: Solve for x
   x = 1,978,778.36/1,603.88
6. Step 6: Final answer
   x = 1,233.75