Finding the Fourth Proportional to 498.82, 744.59 and 462.22

Step by Step Solution

1. Step 1: Write the proportion equation
   498.82 : 744.59 = 462.22 : x
2. Step 2: Convert to fraction form
   498.82/744.59 = 462.22/x
3. Step 3: Cross multiply
   498.82x = 744.59 × 462.22
4. Step 4: Simplify right side
   498.82x = 344,164.39
5. Step 5: Solve for x
   x = 344,164.39/498.82
6. Step 6: Final answer
   x = 689.96