Finding the Fourth Proportional to 109.82, 164.71 and 28.66

Step by Step Solution

1. Step 1: Write the proportion equation
   109.82 : 164.71 = 28.66 : x
2. Step 2: Convert to fraction form
   109.82/164.71 = 28.66/x
3. Step 3: Cross multiply
   109.82x = 164.71 × 28.66
4. Step 4: Simplify right side
   109.82x = 4,720.27
5. Step 5: Solve for x
   x = 4,720.27/109.82
6. Step 6: Final answer
   x = 42.98