Finding the Fourth Proportional to 456.53, 684.71 and 131.82

Step by Step Solution

1. Step 1: Write the proportion equation
   456.53 : 684.71 = 131.82 : x
2. Step 2: Convert to fraction form
   456.53/684.71 = 131.82/x
3. Step 3: Cross multiply
   456.53x = 684.71 × 131.82
4. Step 4: Simplify right side
   456.53x = 90,257.81
5. Step 5: Solve for x
   x = 90,257.81/456.53
6. Step 6: Final answer
   x = 197.71