Finding the Fourth Proportional to 109.88, 164.69 and 61.13

Step by Step Solution

1. Step 1: Write the proportion equation
   109.88 : 164.69 = 61.13 : x
2. Step 2: Convert to fraction form
   109.88/164.69 = 61.13/x
3. Step 3: Cross multiply
   109.88x = 164.69 × 61.13
4. Step 4: Simplify right side
   109.88x = 10,067.22
5. Step 5: Solve for x
   x = 10,067.22/109.88
6. Step 6: Final answer
   x = 91.62