Finding the Fourth Proportional to 498.99, 684.89 and 457.45

Step by Step Solution

1. Step 1: Write the proportion equation
   498.99 : 684.89 = 457.45 : x
2. Step 2: Convert to fraction form
   498.99/684.89 = 457.45/x
3. Step 3: Cross multiply
   498.99x = 684.89 × 457.45
4. Step 4: Simplify right side
   498.99x = 313,300.65
5. Step 5: Solve for x
   x = 313,300.65/498.99
6. Step 6: Final answer
   x = 627.86