Finding the Fourth Proportional to 109.83, 164.73 and 61.71

Step by Step Solution

1. Step 1: Write the proportion equation
   109.83 : 164.73 = 61.71 : x
2. Step 2: Convert to fraction form
   109.83/164.73 = 61.71/x
3. Step 3: Cross multiply
   109.83x = 164.73 × 61.71
4. Step 4: Simplify right side
   109.83x = 10,165.49
5. Step 5: Solve for x
   x = 10,165.49/109.83
6. Step 6: Final answer
   x = 92.56