Finding the Fourth Proportional to 109.29, 150.72 and 77.72

Step by Step Solution

1. Step 1: Write the proportion equation
   109.29 : 150.72 = 77.72 : x
2. Step 2: Convert to fraction form
   109.29/150.72 = 77.72/x
3. Step 3: Cross multiply
   109.29x = 150.72 × 77.72
4. Step 4: Simplify right side
   109.29x = 11,713.49
5. Step 5: Solve for x
   x = 11,713.49/109.29
6. Step 6: Final answer
   x = 107.18