Finding the Fourth Proportional to 498.42, 748.33 and 334.01

Step by Step Solution

1. Step 1: Write the proportion equation
   498.42 : 748.33 = 334.01 : x
2. Step 2: Convert to fraction form
   498.42/748.33 = 334.01/x
3. Step 3: Cross multiply
   498.42x = 748.33 × 334.01
4. Step 4: Simplify right side
   498.42x = 249,949.22
5. Step 5: Solve for x
   x = 249,949.22/498.42
6. Step 6: Final answer
   x = 501.49