Finding the Fourth Proportional to 196.86, 271.71 and 114

Step by Step Solution

1. Step 1: Write the proportion equation
   196.86 : 271.71 = 114 : x
2. Step 2: Convert to fraction form
   196.86/271.71 = 114/x
3. Step 3: Cross multiply
   196.86x = 271.71 × 114
4. Step 4: Simplify right side
   196.86x = 30,974.94
5. Step 5: Solve for x
   x = 30,974.94/196.86
6. Step 6: Final answer
   x = 157.35