Finding the Fourth Proportional to 10,401.99, 15,604.53 and 3,827.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.99 : 15,604.53 = 3,827.70 : x
2. Step 2: Convert to fraction form
   10,401.99/15,604.53 = 3,827.70/x
3. Step 3: Cross multiply
   10,401.99x = 15,604.53 × 3,827.70
4. Step 4: Simplify right side
   10,401.99x = 59,729,459.48
5. Step 5: Solve for x
   x = 59,729,459.48/10,401.99
6. Step 6: Final answer
   x = 5,742.12