Finding the Fourth Proportional to 10,401.50, 15,592.98 and 3,826.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.50 : 15,592.98 = 3,826.10 : x
2. Step 2: Convert to fraction form
   10,401.50/15,592.98 = 3,826.10/x
3. Step 3: Cross multiply
   10,401.50x = 15,592.98 × 3,826.10
4. Step 4: Simplify right side
   10,401.50x = 59,660,300.78
5. Step 5: Solve for x
   x = 59,660,300.78/10,401.50
6. Step 6: Final answer
   x = 5,735.74