Finding the Fourth Proportional to 10,405.86, 15,607.22 and 3,830.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,405.86 : 15,607.22 = 3,830.49 : x
2. Step 2: Convert to fraction form
   10,405.86/15,607.22 = 3,830.49/x
3. Step 3: Cross multiply
   10,405.86x = 15,607.22 × 3,830.49
4. Step 4: Simplify right side
   10,405.86x = 59,783,222.10
5. Step 5: Solve for x
   x = 59,783,222.10/10,405.86
6. Step 6: Final answer
   x = 5,745.15