Finding the Fourth Proportional to 196.23, 294.50 and 105.00

Step by Step Solution

1. Step 1: Write the proportion equation
   196.23 : 294.50 = 105.00 : x
2. Step 2: Convert to fraction form
   196.23/294.50 = 105.00/x
3. Step 3: Cross multiply
   196.23x = 294.50 × 105.00
4. Step 4: Simplify right side
   196.23x = 30,923.28
5. Step 5: Solve for x
   x = 30,923.28/196.23
6. Step 6: Final answer
   x = 157.59