Finding the Fourth Proportional to 142.54, 196.72 and 105.82

Step by Step Solution

1. Step 1: Write the proportion equation
   142.54 : 196.72 = 105.82 : x
2. Step 2: Convert to fraction form
   142.54/196.72 = 105.82/x
3. Step 3: Cross multiply
   142.54x = 196.72 × 105.82
4. Step 4: Simplify right side
   142.54x = 20,816.91
5. Step 5: Solve for x
   x = 20,816.91/142.54
6. Step 6: Final answer
   x = 146.04