Finding the Fourth Proportional to 456.52, 684.73 and 131.86

Step by Step Solution

1. Step 1: Write the proportion equation
   456.52 : 684.73 = 131.86 : x
2. Step 2: Convert to fraction form
   456.52/684.73 = 131.86/x
3. Step 3: Cross multiply
   456.52x = 684.73 × 131.86
4. Step 4: Simplify right side
   456.52x = 90,288.50
5. Step 5: Solve for x
   x = 90,288.50/456.52
6. Step 6: Final answer
   x = 197.78