Finding the Fourth Proportional to 196.38, 294.71 and 105.10

Step by Step Solution

1. Step 1: Write the proportion equation
   196.38 : 294.71 = 105.10 : x
2. Step 2: Convert to fraction form
   196.38/294.71 = 105.10/x
3. Step 3: Cross multiply
   196.38x = 294.71 × 105.10
4. Step 4: Simplify right side
   196.38x = 30,972.76
5. Step 5: Solve for x
   x = 30,972.76/196.38
6. Step 6: Final answer
   x = 157.72