Finding the Fourth Proportional to 456.83, 630.25 and 309.50

Step by Step Solution

1. Step 1: Write the proportion equation
   456.83 : 630.25 = 309.50 : x
2. Step 2: Convert to fraction form
   456.83/630.25 = 309.50/x
3. Step 3: Cross multiply
   456.83x = 630.25 × 309.50
4. Step 4: Simplify right side
   456.83x = 195,058.45
5. Step 5: Solve for x
   x = 195,058.45/456.83
6. Step 6: Final answer
   x = 426.99