Finding the Fourth Proportional to 498.72, 688.25 and 277.69

Step by Step Solution

1. Step 1: Write the proportion equation
   498.72 : 688.25 = 277.69 : x
2. Step 2: Convert to fraction form
   498.72/688.25 = 277.69/x
3. Step 3: Cross multiply
   498.72x = 688.25 × 277.69
4. Step 4: Simplify right side
   498.72x = 191,118.75
5. Step 5: Solve for x
   x = 191,118.75/498.72
6. Step 6: Final answer
   x = 383.22