Finding the Fourth Proportional to 109.63, 164.34 and 61.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109.63 : 164.34 = 61.50 : x
2. Step 2: Convert to fraction form
   109.63/164.34 = 61.50/x
3. Step 3: Cross multiply
   109.63x = 164.34 × 61.50
4. Step 4: Simplify right side
   109.63x = 10,106.91
5. Step 5: Solve for x
   x = 10,106.91/109.63
6. Step 6: Final answer
   x = 92.19