Finding the Fourth Proportional to 7,855.40, 10,827.83 and 7,211.61

Step by Step Solution

1. Step 1: Write the proportion equation
   7,855.40 : 10,827.83 = 7,211.61 : x
2. Step 2: Convert to fraction form
   7,855.40/10,827.83 = 7,211.61/x
3. Step 3: Cross multiply
   7,855.40x = 10,827.83 × 7,211.61
4. Step 4: Simplify right side
   7,855.40x = 78,086,105.14
5. Step 5: Solve for x
   x = 78,086,105.14/7,855.40
6. Step 6: Final answer
   x = 9,940.43