Finding the Fourth Proportional to 1,144.72, 1,716.06 and 414.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,144.72 : 1,716.06 = 414.13 : x
2. Step 2: Convert to fraction form
   1,144.72/1,716.06 = 414.13/x
3. Step 3: Cross multiply
   1,144.72x = 1,716.06 × 414.13
4. Step 4: Simplify right side
   1,144.72x = 710,676.22
5. Step 5: Solve for x
   x = 710,676.22/1,144.72
6. Step 6: Final answer
   x = 620.83