Finding the Fourth Proportional to 498.34, 685.83 and 446.50

Step by Step Solution

1. Step 1: Write the proportion equation
   498.34 : 685.83 = 446.50 : x
2. Step 2: Convert to fraction form
   498.34/685.83 = 446.50/x
3. Step 3: Cross multiply
   498.34x = 685.83 × 446.50
4. Step 4: Simplify right side
   498.34x = 306,223.10
5. Step 5: Solve for x
   x = 306,223.10/498.34
6. Step 6: Final answer
   x = 614.49