Finding the Fourth Proportional to 825.47, 1,139.25 and 493.89

Step by Step Solution

1. Step 1: Write the proportion equation
   825.47 : 1,139.25 = 493.89 : x
2. Step 2: Convert to fraction form
   825.47/1,139.25 = 493.89/x
3. Step 3: Cross multiply
   825.47x = 1,139.25 × 493.89
4. Step 4: Simplify right side
   825.47x = 562,661.71
5. Step 5: Solve for x
   x = 562,661.71/825.47
6. Step 6: Final answer
   x = 681.63