Finding the Fourth Proportional to 109.58, 164.42 and 61.49

Step by Step Solution

1. Step 1: Write the proportion equation
   109.58 : 164.42 = 61.49 : x
2. Step 2: Convert to fraction form
   109.58/164.42 = 61.49/x
3. Step 3: Cross multiply
   109.58x = 164.42 × 61.49
4. Step 4: Simplify right side
   109.58x = 10,109.06
5. Step 5: Solve for x
   x = 10,109.06/109.58
6. Step 6: Final answer
   x = 92.25