Finding the Fourth Proportional to 109.50, 164.25 and 61.41

Step by Step Solution

1. Step 1: Write the proportion equation
   109.50 : 164.25 = 61.41 : x
2. Step 2: Convert to fraction form
   109.50/164.25 = 61.41/x
3. Step 3: Cross multiply
   109.50x = 164.25 × 61.41
4. Step 4: Simplify right side
   109.50x = 10,086.59
5. Step 5: Solve for x
   x = 10,086.59/109.50
6. Step 6: Final answer
   x = 92.12