Finding the Fourth Proportional to 498.39, 743.94 and 462.25

Step by Step Solution

1. Step 1: Write the proportion equation
   498.39 : 743.94 = 462.25 : x
2. Step 2: Convert to fraction form
   498.39/743.94 = 462.25/x
3. Step 3: Cross multiply
   498.39x = 743.94 × 462.25
4. Step 4: Simplify right side
   498.39x = 343,885.46
5. Step 5: Solve for x
   x = 343,885.46/498.39
6. Step 6: Final answer
   x = 689.99