Finding the Fourth Proportional to 1,003.89, 1,385.46 and 584.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.89 : 1,385.46 = 584.22 : x
2. Step 2: Convert to fraction form
   1,003.89/1,385.46 = 584.22/x
3. Step 3: Cross multiply
   1,003.89x = 1,385.46 × 584.22
4. Step 4: Simplify right side
   1,003.89x = 809,413.44
5. Step 5: Solve for x
   x = 809,413.44/1,003.89
6. Step 6: Final answer
   x = 806.28