Finding the Fourth Proportional to 196.29, 294.32 and 109.69

Step by Step Solution

1. Step 1: Write the proportion equation
   196.29 : 294.32 = 109.69 : x
2. Step 2: Convert to fraction form
   196.29/294.32 = 109.69/x
3. Step 3: Cross multiply
   196.29x = 294.32 × 109.69
4. Step 4: Simplify right side
   196.29x = 32,283.50
5. Step 5: Solve for x
   x = 32,283.50/196.29
6. Step 6: Final answer
   x = 164.47