Finding the Fourth Proportional to 1,144.78, 1,716.49 and 414.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,144.78 : 1,716.49 = 414.02 : x
2. Step 2: Convert to fraction form
   1,144.78/1,716.49 = 414.02/x
3. Step 3: Cross multiply
   1,144.78x = 1,716.49 × 414.02
4. Step 4: Simplify right side
   1,144.78x = 710,661.19
5. Step 5: Solve for x
   x = 710,661.19/1,144.78
6. Step 6: Final answer
   x = 620.78