Finding the Fourth Proportional to 498.82, 688.37 and 277.78

Step by Step Solution

1. Step 1: Write the proportion equation
   498.82 : 688.37 = 277.78 : x
2. Step 2: Convert to fraction form
   498.82/688.37 = 277.78/x
3. Step 3: Cross multiply
   498.82x = 688.37 × 277.78
4. Step 4: Simplify right side
   498.82x = 191,215.42
5. Step 5: Solve for x
   x = 191,215.42/498.82
6. Step 6: Final answer
   x = 383.34