Finding the Fourth Proportional to 1,196.49, 1,794.84 and 416.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.49 : 1,794.84 = 416.37 : x
2. Step 2: Convert to fraction form
   1,196.49/1,794.84 = 416.37/x
3. Step 3: Cross multiply
   1,196.49x = 1,794.84 × 416.37
4. Step 4: Simplify right side
   1,196.49x = 747,317.53
5. Step 5: Solve for x
   x = 747,317.53/1,196.49
6. Step 6: Final answer
   x = 624.59