Finding the Fourth Proportional to 10,072.89, 15,107.06 and 3,830.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072.89 : 15,107.06 = 3,830.68 : x
2. Step 2: Convert to fraction form
   10,072.89/15,107.06 = 3,830.68/x
3. Step 3: Cross multiply
   10,072.89x = 15,107.06 × 3,830.68
4. Step 4: Simplify right side
   10,072.89x = 57,870,312.60
5. Step 5: Solve for x
   x = 57,870,312.60/10,072.89
6. Step 6: Final answer
   x = 5,745.15