Finding the Fourth Proportional to 498.88, 748.41 and 255.34

Step by Step Solution

1. Step 1: Write the proportion equation
   498.88 : 748.41 = 255.34 : x
2. Step 2: Convert to fraction form
   498.88/748.41 = 255.34/x
3. Step 3: Cross multiply
   498.88x = 748.41 × 255.34
4. Step 4: Simplify right side
   498.88x = 191,099.01
5. Step 5: Solve for x
   x = 191,099.01/498.88
6. Step 6: Final answer
   x = 383.06