Finding the Fourth Proportional to 10,401, 15,592.23 and 3,825.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401 : 15,592.23 = 3,825.60 : x
2. Step 2: Convert to fraction form
   10,401/15,592.23 = 3,825.60/x
3. Step 3: Cross multiply
   10,401x = 15,592.23 × 3,825.60
4. Step 4: Simplify right side
   10,401x = 59,649,635.09
5. Step 5: Solve for x
   x = 59,649,635.09/10,401
6. Step 6: Final answer
   x = 5,734.99