Finding the Fourth Proportional to 456.72, 684.89 and 164.12

Step by Step Solution

1. Step 1: Write the proportion equation
   456.72 : 684.89 = 164.12 : x
2. Step 2: Convert to fraction form
   456.72/684.89 = 164.12/x
3. Step 3: Cross multiply
   456.72x = 684.89 × 164.12
4. Step 4: Simplify right side
   456.72x = 112,406.27
5. Step 5: Solve for x
   x = 112,406.27/456.72
6. Step 6: Final answer
   x = 246.12