Finding the Fourth Proportional to 10,402.97, 15,606.54 and 3,829.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402.97 : 15,606.54 = 3,829.01 : x
2. Step 2: Convert to fraction form
   10,402.97/15,606.54 = 3,829.01/x
3. Step 3: Cross multiply
   10,402.97x = 15,606.54 × 3,829.01
4. Step 4: Simplify right side
   10,402.97x = 59,757,519.69
5. Step 5: Solve for x
   x = 59,757,519.69/10,402.97
6. Step 6: Final answer
   x = 5,744.28