Finding the Fourth Proportional to 7,105.88, 10,661.89 and 3,815.13

Step by Step Solution

1. Step 1: Write the proportion equation
   7,105.88 : 10,661.89 = 3,815.13 : x
2. Step 2: Convert to fraction form
   7,105.88/10,661.89 = 3,815.13/x
3. Step 3: Cross multiply
   7,105.88x = 10,661.89 × 3,815.13
4. Step 4: Simplify right side
   7,105.88x = 40,676,496.40
5. Step 5: Solve for x
   x = 40,676,496.40/7,105.88
6. Step 6: Final answer
   x = 5,724.34