Finding the Fourth Proportional to 1,147.50, 1,720.56 and 416.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.50 : 1,720.56 = 416.82 : x
2. Step 2: Convert to fraction form
   1,147.50/1,720.56 = 416.82/x
3. Step 3: Cross multiply
   1,147.50x = 1,720.56 × 416.82
4. Step 4: Simplify right side
   1,147.50x = 717,163.82
5. Step 5: Solve for x
   x = 717,163.82/1,147.50
6. Step 6: Final answer
   x = 624.98