Finding the Fourth Proportional to 1,196.78, 1,794.42 and 416.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.78 : 1,794.42 = 416.41 : x
2. Step 2: Convert to fraction form
   1,196.78/1,794.42 = 416.41/x
3. Step 3: Cross multiply
   1,196.78x = 1,794.42 × 416.41
4. Step 4: Simplify right side
   1,196.78x = 747,209.95
5. Step 5: Solve for x
   x = 747,209.95/1,196.78
6. Step 6: Final answer
   x = 624.35