Finding the Fourth Proportional to 456,648.21, 682,172.18 and 329,200.78

Step by Step Solution

1. Step 1: Write the proportion equation
   456,648.21 : 682,172.18 = 329,200.78 : x
2. Step 2: Convert to fraction form
   456,648.21/682,172.18 = 329,200.78/x
3. Step 3: Cross multiply
   456,648.21x = 682,172.18 × 329,200.78
4. Step 4: Simplify right side
   456,648.21x = 224,571,613,750.30
5. Step 5: Solve for x
   x = 224,571,613,750.30/456,648.21
6. Step 6: Final answer
   x = 491,782.53