Finding the Fourth Proportional to 847.69, 1,169.82 and 498.38

Step by Step Solution

1. Step 1: Write the proportion equation
   847.69 : 1,169.82 = 498.38 : x
2. Step 2: Convert to fraction form
   847.69/1,169.82 = 498.38/x
3. Step 3: Cross multiply
   847.69x = 1,169.82 × 498.38
4. Step 4: Simplify right side
   847.69x = 583,009.04
5. Step 5: Solve for x
   x = 583,009.04/847.69
6. Step 6: Final answer
   x = 687.76