Finding the Fourth Proportional to 1,196.61, 1,794.83 and 416.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.61 : 1,794.83 = 416.58 : x
2. Step 2: Convert to fraction form
   1,196.61/1,794.83 = 416.58/x
3. Step 3: Cross multiply
   1,196.61x = 1,794.83 × 416.58
4. Step 4: Simplify right side
   1,196.61x = 747,688.20
5. Step 5: Solve for x
   x = 747,688.20/1,196.61
6. Step 6: Final answer
   x = 624.84