Finding the Fourth Proportional to 109.69, 164.54 and 61.59

Step by Step Solution

1. Step 1: Write the proportion equation
   109.69 : 164.54 = 61.59 : x
2. Step 2: Convert to fraction form
   109.69/164.54 = 61.59/x
3. Step 3: Cross multiply
   109.69x = 164.54 × 61.59
4. Step 4: Simplify right side
   109.69x = 10,134.02
5. Step 5: Solve for x
   x = 10,134.02/109.69
6. Step 6: Final answer
   x = 92.39