Finding the Fourth Proportional to 1,196.48, 1,795.02 and 416.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.48 : 1,795.02 = 416.54 : x
2. Step 2: Convert to fraction form
   1,196.48/1,795.02 = 416.54/x
3. Step 3: Cross multiply
   1,196.48x = 1,795.02 × 416.54
4. Step 4: Simplify right side
   1,196.48x = 747,697.63
5. Step 5: Solve for x
   x = 747,697.63/1,196.48
6. Step 6: Final answer
   x = 624.91