Finding the Fourth Proportional to 196.67, 271.41 and 113.80

Step by Step Solution

1. Step 1: Write the proportion equation
   196.67 : 271.41 = 113.80 : x
2. Step 2: Convert to fraction form
   196.67/271.41 = 113.80/x
3. Step 3: Cross multiply
   196.67x = 271.41 × 113.80
4. Step 4: Simplify right side
   196.67x = 30,885.78
5. Step 5: Solve for x
   x = 30,885.78/196.67
6. Step 6: Final answer
   x = 157.05