Finding the Fourth Proportional to 196.78, 294.99 and 142.78

Step by Step Solution

1. Step 1: Write the proportion equation
   196.78 : 294.99 = 142.78 : x
2. Step 2: Convert to fraction form
   196.78/294.99 = 142.78/x
3. Step 3: Cross multiply
   196.78x = 294.99 × 142.78
4. Step 4: Simplify right side
   196.78x = 42,118.67
5. Step 5: Solve for x
   x = 42,118.67/196.78
6. Step 6: Final answer
   x = 214.04