Finding the Fourth Proportional to 456.42, 683.72 and 341

Step by Step Solution

1. Step 1: Write the proportion equation
   456.42 : 683.72 = 341 : x
2. Step 2: Convert to fraction form
   456.42/683.72 = 341/x
3. Step 3: Cross multiply
   456.42x = 683.72 × 341
4. Step 4: Simplify right side
   456.42x = 233,148.52
5. Step 5: Solve for x
   x = 233,148.52/456.42
6. Step 6: Final answer
   x = 510.82