Finding the Fourth Proportional to 1,144.57, 1,715.81 and 413.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,144.57 : 1,715.81 = 413.98 : x
2. Step 2: Convert to fraction form
   1,144.57/1,715.81 = 413.98/x
3. Step 3: Cross multiply
   1,144.57x = 1,715.81 × 413.98
4. Step 4: Simplify right side
   1,144.57x = 710,311.02
5. Step 5: Solve for x
   x = 710,311.02/1,144.57
6. Step 6: Final answer
   x = 620.59