Finding the Fourth Proportional to 10,401.95, 15,605.64 and 3,828.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.95 : 15,605.64 = 3,828.21 : x
2. Step 2: Convert to fraction form
   10,401.95/15,605.64 = 3,828.21/x
3. Step 3: Cross multiply
   10,401.95x = 15,605.64 × 3,828.21
4. Step 4: Simplify right side
   10,401.95x = 59,741,667.10
5. Step 5: Solve for x
   x = 59,741,667.10/10,401.95
6. Step 6: Final answer
   x = 5,743.32