Finding the Fourth Proportional to 498.95, 748.59 and 152.34

Step by Step Solution

1. Step 1: Write the proportion equation
   498.95 : 748.59 = 152.34 : x
2. Step 2: Convert to fraction form
   498.95/748.59 = 152.34/x
3. Step 3: Cross multiply
   498.95x = 748.59 × 152.34
4. Step 4: Simplify right side
   498.95x = 114,040.20
5. Step 5: Solve for x
   x = 114,040.20/498.95
6. Step 6: Final answer
   x = 228.56