Finding the Fourth Proportional to 142.74, 196.83 and 105.84

Step by Step Solution

1. Step 1: Write the proportion equation
   142.74 : 196.83 = 105.84 : x
2. Step 2: Convert to fraction form
   142.74/196.83 = 105.84/x
3. Step 3: Cross multiply
   142.74x = 196.83 × 105.84
4. Step 4: Simplify right side
   142.74x = 20,832.49
5. Step 5: Solve for x
   x = 20,832.49/142.74
6. Step 6: Final answer
   x = 145.95