Finding the Fourth Proportional to 109.94, 163.78 and 105.02

Step by Step Solution

1. Step 1: Write the proportion equation
   109.94 : 163.78 = 105.02 : x
2. Step 2: Convert to fraction form
   109.94/163.78 = 105.02/x
3. Step 3: Cross multiply
   109.94x = 163.78 × 105.02
4. Step 4: Simplify right side
   109.94x = 17,200.18
5. Step 5: Solve for x
   x = 17,200.18/109.94
6. Step 6: Final answer
   x = 156.45