Finding the Fourth Proportional to 498.72, 688.24 and 277.67

Step by Step Solution

1. Step 1: Write the proportion equation
   498.72 : 688.24 = 277.67 : x
2. Step 2: Convert to fraction form
   498.72/688.24 = 277.67/x
3. Step 3: Cross multiply
   498.72x = 688.24 × 277.67
4. Step 4: Simplify right side
   498.72x = 191,103.60
5. Step 5: Solve for x
   x = 191,103.60/498.72
6. Step 6: Final answer
   x = 383.19