Finding the Fourth Proportional to 109.23, 162.78 and 105.56

Step by Step Solution

1. Step 1: Write the proportion equation
   109.23 : 162.78 = 105.56 : x
2. Step 2: Convert to fraction form
   109.23/162.78 = 105.56/x
3. Step 3: Cross multiply
   109.23x = 162.78 × 105.56
4. Step 4: Simplify right side
   109.23x = 17,182.12
5. Step 5: Solve for x
   x = 17,182.12/109.23
6. Step 6: Final answer
   x = 157.30