Finding the Fourth Proportional to 142.53, 196.63 and 105.67

Step by Step Solution

1. Step 1: Write the proportion equation
   142.53 : 196.63 = 105.67 : x
2. Step 2: Convert to fraction form
   142.53/196.63 = 105.67/x
3. Step 3: Cross multiply
   142.53x = 196.63 × 105.67
4. Step 4: Simplify right side
   142.53x = 20,777.89
5. Step 5: Solve for x
   x = 20,777.89/142.53
6. Step 6: Final answer
   x = 145.78