Finding the Fourth Proportional to 456.42, 684.72 and 167.82

Step by Step Solution

1. Step 1: Write the proportion equation
   456.42 : 684.72 = 167.82 : x
2. Step 2: Convert to fraction form
   456.42/684.72 = 167.82/x
3. Step 3: Cross multiply
   456.42x = 684.72 × 167.82
4. Step 4: Simplify right side
   456.42x = 114,909.71
5. Step 5: Solve for x
   x = 114,909.71/456.42
6. Step 6: Final answer
   x = 251.76