Finding the Fourth Proportional to 1,144.86, 1,716.06 and 414.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,144.86 : 1,716.06 = 414.24 : x
2. Step 2: Convert to fraction form
   1,144.86/1,716.06 = 414.24/x
3. Step 3: Cross multiply
   1,144.86x = 1,716.06 × 414.24
4. Step 4: Simplify right side
   1,144.86x = 710,860.69
5. Step 5: Solve for x
   x = 710,860.69/1,144.86
6. Step 6: Final answer
   x = 620.91