Finding the Fourth Proportional to 109.89, 164.84 and 61.83

Step by Step Solution

1. Step 1: Write the proportion equation
   109.89 : 164.84 = 61.83 : x
2. Step 2: Convert to fraction form
   109.89/164.84 = 61.83/x
3. Step 3: Cross multiply
   109.89x = 164.84 × 61.83
4. Step 4: Simplify right side
   109.89x = 10,192.31
5. Step 5: Solve for x
   x = 10,192.31/109.89
6. Step 6: Final answer
   x = 92.75