Finding the Fourth Proportional to 498.99, 748.52 and 255.68

Step by Step Solution

1. Step 1: Write the proportion equation
   498.99 : 748.52 = 255.68 : x
2. Step 2: Convert to fraction form
   498.99/748.52 = 255.68/x
3. Step 3: Cross multiply
   498.99x = 748.52 × 255.68
4. Step 4: Simplify right side
   498.99x = 191,381.72
5. Step 5: Solve for x
   x = 191,381.72/498.99
6. Step 6: Final answer
   x = 383.54