Finding the Fourth Proportional to 144.69, 199.78 and 109.78

Step by Step Solution

1. Step 1: Write the proportion equation
   144.69 : 199.78 = 109.78 : x
2. Step 2: Convert to fraction form
   144.69/199.78 = 109.78/x
3. Step 3: Cross multiply
   144.69x = 199.78 × 109.78
4. Step 4: Simplify right side
   144.69x = 21,931.85
5. Step 5: Solve for x
   x = 21,931.85/144.69
6. Step 6: Final answer
   x = 151.58