Finding the Fourth Proportional to 498.34, 687.72 and 277.31

Step by Step Solution

1. Step 1: Write the proportion equation
   498.34 : 687.72 = 277.31 : x
2. Step 2: Convert to fraction form
   498.34/687.72 = 277.31/x
3. Step 3: Cross multiply
   498.34x = 687.72 × 277.31
4. Step 4: Simplify right side
   498.34x = 190,711.09
5. Step 5: Solve for x
   x = 190,711.09/498.34
6. Step 6: Final answer
   x = 382.69