Finding the Fourth Proportional to 498.69, 688.19 and 277.67

Step by Step Solution

1. Step 1: Write the proportion equation
   498.69 : 688.19 = 277.67 : x
2. Step 2: Convert to fraction form
   498.69/688.19 = 277.67/x
3. Step 3: Cross multiply
   498.69x = 688.19 × 277.67
4. Step 4: Simplify right side
   498.69x = 191,084.89
5. Step 5: Solve for x
   x = 191,084.89/498.69
6. Step 6: Final answer
   x = 383.17