Finding the Fourth Proportional to 825.69, 1,139.25 and 494.25

Step by Step Solution

1. Step 1: Write the proportion equation
   825.69 : 1,139.25 = 494.25 : x
2. Step 2: Convert to fraction form
   825.69/1,139.25 = 494.25/x
3. Step 3: Cross multiply
   825.69x = 1,139.25 × 494.25
4. Step 4: Simplify right side
   825.69x = 563,074.31
5. Step 5: Solve for x
   x = 563,074.31/825.69
6. Step 6: Final answer
   x = 681.94