Finding the Fourth Proportional to 10,493.49, 15,735.26 and 3,825.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.49 : 15,735.26 = 3,825.27 : x
2. Step 2: Convert to fraction form
   10,493.49/15,735.26 = 3,825.27/x
3. Step 3: Cross multiply
   10,493.49x = 15,735.26 × 3,825.27
4. Step 4: Simplify right side
   10,493.49x = 60,191,627.58
5. Step 5: Solve for x
   x = 60,191,627.58/10,493.49
6. Step 6: Final answer
   x = 5,736.09