Finding the Fourth Proportional to 1,196.87, 1,794.78 and 416.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.87 : 1,794.78 = 416.75 : x
2. Step 2: Convert to fraction form
   1,196.87/1,794.78 = 416.75/x
3. Step 3: Cross multiply
   1,196.87x = 1,794.78 × 416.75
4. Step 4: Simplify right side
   1,196.87x = 747,965.59
5. Step 5: Solve for x
   x = 747,965.59/1,196.87
6. Step 6: Final answer
   x = 624.94