Finding the Fourth Proportional to 109.53, 164.16 and 61.29

Step by Step Solution

1. Step 1: Write the proportion equation
   109.53 : 164.16 = 61.29 : x
2. Step 2: Convert to fraction form
   109.53/164.16 = 61.29/x
3. Step 3: Cross multiply
   109.53x = 164.16 × 61.29
4. Step 4: Simplify right side
   109.53x = 10,061.37
5. Step 5: Solve for x
   x = 10,061.37/109.53
6. Step 6: Final answer
   x = 91.86