Finding the Fourth Proportional to 109.59, 150.82 and 106.57

Step by Step Solution

1. Step 1: Write the proportion equation
   109.59 : 150.82 = 106.57 : x
2. Step 2: Convert to fraction form
   109.59/150.82 = 106.57/x
3. Step 3: Cross multiply
   109.59x = 150.82 × 106.57
4. Step 4: Simplify right side
   109.59x = 16,072.89
5. Step 5: Solve for x
   x = 16,072.89/109.59
6. Step 6: Final answer
   x = 146.66