Finding the Fourth Proportional to 456.32, 684.50 and 131.69

Step by Step Solution

1. Step 1: Write the proportion equation
   456.32 : 684.50 = 131.69 : x
2. Step 2: Convert to fraction form
   456.32/684.50 = 131.69/x
3. Step 3: Cross multiply
   456.32x = 684.50 × 131.69
4. Step 4: Simplify right side
   456.32x = 90,142.86
5. Step 5: Solve for x
   x = 90,142.86/456.32
6. Step 6: Final answer
   x = 197.54