Finding the Fourth Proportional to 1,144.46, 1,715.34 and 413.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,144.46 : 1,715.34 = 413.48 : x
2. Step 2: Convert to fraction form
   1,144.46/1,715.34 = 413.48/x
3. Step 3: Cross multiply
   1,144.46x = 1,715.34 × 413.48
4. Step 4: Simplify right side
   1,144.46x = 709,258.78
5. Step 5: Solve for x
   x = 709,258.78/1,144.46
6. Step 6: Final answer
   x = 619.73