Finding the Fourth Proportional to 1,144.17, 1,716.24 and 413.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,144.17 : 1,716.24 = 413.76 : x
2. Step 2: Convert to fraction form
   1,144.17/1,716.24 = 413.76/x
3. Step 3: Cross multiply
   1,144.17x = 1,716.24 × 413.76
4. Step 4: Simplify right side
   1,144.17x = 710,111.46
5. Step 5: Solve for x
   x = 710,111.46/1,144.17
6. Step 6: Final answer
   x = 620.63