Finding the Fourth Proportional to 498.84, 746.71 and 456.31

Step by Step Solution

1. Step 1: Write the proportion equation
   498.84 : 746.71 = 456.31 : x
2. Step 2: Convert to fraction form
   498.84/746.71 = 456.31/x
3. Step 3: Cross multiply
   498.84x = 746.71 × 456.31
4. Step 4: Simplify right side
   498.84x = 340,731.24
5. Step 5: Solve for x
   x = 340,731.24/498.84
6. Step 6: Final answer
   x = 683.05