Finding the Fourth Proportional to 7,111.80, 10,674.18 and 3,828.06

Step by Step Solution

1. Step 1: Write the proportion equation
   7,111.80 : 10,674.18 = 3,828.06 : x
2. Step 2: Convert to fraction form
   7,111.80/10,674.18 = 3,828.06/x
3. Step 3: Cross multiply
   7,111.80x = 10,674.18 × 3,828.06
4. Step 4: Simplify right side
   7,111.80x = 40,861,401.49
5. Step 5: Solve for x
   x = 40,861,401.49/7,111.80
6. Step 6: Final answer
   x = 5,745.58