Finding the Fourth Proportional to 498.78, 748.28 and 152.08

Step by Step Solution

1. Step 1: Write the proportion equation
   498.78 : 748.28 = 152.08 : x
2. Step 2: Convert to fraction form
   498.78/748.28 = 152.08/x
3. Step 3: Cross multiply
   498.78x = 748.28 × 152.08
4. Step 4: Simplify right side
   498.78x = 113,798.42
5. Step 5: Solve for x
   x = 113,798.42/498.78
6. Step 6: Final answer
   x = 228.15