Finding the Fourth Proportional to 498.77, 688.27 and 277.72

Step by Step Solution

1. Step 1: Write the proportion equation
   498.77 : 688.27 = 277.72 : x
2. Step 2: Convert to fraction form
   498.77/688.27 = 277.72/x
3. Step 3: Cross multiply
   498.77x = 688.27 × 277.72
4. Step 4: Simplify right side
   498.77x = 191,146.34
5. Step 5: Solve for x
   x = 191,146.34/498.77
6. Step 6: Final answer
   x = 383.24