Finding the Fourth Proportional to 1,196.89, 1,794.60 and 416.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.89 : 1,794.60 = 416.71 : x
2. Step 2: Convert to fraction form
   1,196.89/1,794.60 = 416.71/x
3. Step 3: Cross multiply
   1,196.89x = 1,794.60 × 416.71
4. Step 4: Simplify right side
   1,196.89x = 747,827.77
5. Step 5: Solve for x
   x = 747,827.77/1,196.89
6. Step 6: Final answer
   x = 624.81