Finding the Fourth Proportional to 1,144.79, 1,716.15 and 414.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,144.79 : 1,716.15 = 414.20 : x
2. Step 2: Convert to fraction form
   1,144.79/1,716.15 = 414.20/x
3. Step 3: Cross multiply
   1,144.79x = 1,716.15 × 414.20
4. Step 4: Simplify right side
   1,144.79x = 710,820.75
5. Step 5: Solve for x
   x = 710,820.75/1,144.79
6. Step 6: Final answer
   x = 620.92