Finding the Fourth Proportional to 1,144.62, 1,716.81 and 413.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,144.62 : 1,716.81 = 413.82 : x
2. Step 2: Convert to fraction form
   1,144.62/1,716.81 = 413.82/x
3. Step 3: Cross multiply
   1,144.62x = 1,716.81 × 413.82
4. Step 4: Simplify right side
   1,144.62x = 710,450.31
5. Step 5: Solve for x
   x = 710,450.31/1,144.62
6. Step 6: Final answer
   x = 620.69