Finding the Fourth Proportional to 196.68, 271.42 and 113.78

Step by Step Solution

1. Step 1: Write the proportion equation
   196.68 : 271.42 = 113.78 : x
2. Step 2: Convert to fraction form
   196.68/271.42 = 113.78/x
3. Step 3: Cross multiply
   196.68x = 271.42 × 113.78
4. Step 4: Simplify right side
   196.68x = 30,882.17
5. Step 5: Solve for x
   x = 30,882.17/196.68
6. Step 6: Final answer
   x = 157.02