Finding the Fourth Proportional to 196.66, 294.71 and 105.42

Step by Step Solution

1. Step 1: Write the proportion equation
   196.66 : 294.71 = 105.42 : x
2. Step 2: Convert to fraction form
   196.66/294.71 = 105.42/x
3. Step 3: Cross multiply
   196.66x = 294.71 × 105.42
4. Step 4: Simplify right side
   196.66x = 31,068.59
5. Step 5: Solve for x
   x = 31,068.59/196.66
6. Step 6: Final answer
   x = 157.98