Finding the Fourth Proportional to 186.50, 279.72 and 109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   186.50 : 279.72 = 109.50 : x
2. Step 2: Convert to fraction form
   186.50/279.72 = 109.50/x
3. Step 3: Cross multiply
   186.50x = 279.72 × 109.50
4. Step 4: Simplify right side
   186.50x = 30,629.34
5. Step 5: Solve for x
   x = 30,629.34/186.50
6. Step 6: Final answer
   x = 164.24