Finding the Fourth Proportional to 498.78, 748.17 and 306

Step by Step Solution

1. Step 1: Write the proportion equation
   498.78 : 748.17 = 306 : x
2. Step 2: Convert to fraction form
   498.78/748.17 = 306/x
3. Step 3: Cross multiply
   498.78x = 748.17 × 306
4. Step 4: Simplify right side
   498.78x = 228,940.02
5. Step 5: Solve for x
   x = 228,940.02/498.78
6. Step 6: Final answer
   x = 459