Finding the Fourth Proportional to 1,144.41, 1,715.59 and 413.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,144.41 : 1,715.59 = 413.82 : x
2. Step 2: Convert to fraction form
   1,144.41/1,715.59 = 413.82/x
3. Step 3: Cross multiply
   1,144.41x = 1,715.59 × 413.82
4. Step 4: Simplify right side
   1,144.41x = 709,945.97
5. Step 5: Solve for x
   x = 709,945.97/1,144.41
6. Step 6: Final answer
   x = 620.36