Finding the Fourth Proportional to 1,196.69, 1,794.90 and 416.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.69 : 1,794.90 = 416.56 : x
2. Step 2: Convert to fraction form
   1,196.69/1,794.90 = 416.56/x
3. Step 3: Cross multiply
   1,196.69x = 1,794.90 × 416.56
4. Step 4: Simplify right side
   1,196.69x = 747,683.54
5. Step 5: Solve for x
   x = 747,683.54/1,196.69
6. Step 6: Final answer
   x = 624.79