Finding the Fourth Proportional to 109.58, 164.14 and 61.38

Step by Step Solution

1. Step 1: Write the proportion equation
   109.58 : 164.14 = 61.38 : x
2. Step 2: Convert to fraction form
   109.58/164.14 = 61.38/x
3. Step 3: Cross multiply
   109.58x = 164.14 × 61.38
4. Step 4: Simplify right side
   109.58x = 10,074.76
5. Step 5: Solve for x
   x = 10,074.76/109.58
6. Step 6: Final answer
   x = 91.94