Finding the Fourth Proportional to 1,144.12, 1,715.82 and 413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,144.12 : 1,715.82 = 413.50 : x
2. Step 2: Convert to fraction form
   1,144.12/1,715.82 = 413.50/x
3. Step 3: Cross multiply
   1,144.12x = 1,715.82 × 413.50
4. Step 4: Simplify right side
   1,144.12x = 709,491.57
5. Step 5: Solve for x
   x = 709,491.57/1,144.12
6. Step 6: Final answer
   x = 620.12