Finding the Fourth Proportional to 109.89, 164.72 and 61.70

Step by Step Solution

1. Step 1: Write the proportion equation
   109.89 : 164.72 = 61.70 : x
2. Step 2: Convert to fraction form
   109.89/164.72 = 61.70/x
3. Step 3: Cross multiply
   109.89x = 164.72 × 61.70
4. Step 4: Simplify right side
   109.89x = 10,162.09
5. Step 5: Solve for x
   x = 10,162.09/109.89
6. Step 6: Final answer
   x = 92.48