Finding the Fourth Proportional to 196.64, 294.52 and 105.16

Step by Step Solution

1. Step 1: Write the proportion equation
   196.64 : 294.52 = 105.16 : x
2. Step 2: Convert to fraction form
   196.64/294.52 = 105.16/x
3. Step 3: Cross multiply
   196.64x = 294.52 × 105.16
4. Step 4: Simplify right side
   196.64x = 30,971.72
5. Step 5: Solve for x
   x = 30,971.72/196.64
6. Step 6: Final answer
   x = 157.50