Finding the Fourth Proportional to 10,217.13, 14,099.33 and 5,740.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,217.13 : 14,099.33 = 5,740.77 : x
2. Step 2: Convert to fraction form
   10,217.13/14,099.33 = 5,740.77/x
3. Step 3: Cross multiply
   10,217.13x = 14,099.33 × 5,740.77
4. Step 4: Simplify right side
   10,217.13x = 80,940,981.98
5. Step 5: Solve for x
   x = 80,940,981.98/10,217.13
6. Step 6: Final answer
   x = 7,922.09