Finding the Fourth Proportional to 10,404.09, 15,607.69 and 3,829.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,404.09 : 15,607.69 = 3,829.78 : x
2. Step 2: Convert to fraction form
   10,404.09/15,607.69 = 3,829.78/x
3. Step 3: Cross multiply
   10,404.09x = 15,607.69 × 3,829.78
4. Step 4: Simplify right side
   10,404.09x = 59,774,006.59
5. Step 5: Solve for x
   x = 59,774,006.59/10,404.09
6. Step 6: Final answer
   x = 5,745.24