Finding the Fourth Proportional to 1,196.47, 1,795.17 and 416.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.47 : 1,795.17 = 416.55 : x
2. Step 2: Convert to fraction form
   1,196.47/1,795.17 = 416.55/x
3. Step 3: Cross multiply
   1,196.47x = 1,795.17 × 416.55
4. Step 4: Simplify right side
   1,196.47x = 747,778.06
5. Step 5: Solve for x
   x = 747,778.06/1,196.47
6. Step 6: Final answer
   x = 624.99