Finding the Fourth Proportional to 498.72, 748.09 and 152.06

Step by Step Solution

1. Step 1: Write the proportion equation
   498.72 : 748.09 = 152.06 : x
2. Step 2: Convert to fraction form
   498.72/748.09 = 152.06/x
3. Step 3: Cross multiply
   498.72x = 748.09 × 152.06
4. Step 4: Simplify right side
   498.72x = 113,755.07
5. Step 5: Solve for x
   x = 113,755.07/498.72
6. Step 6: Final answer
   x = 228.09