Finding the Fourth Proportional to 10,205.29, 14,082.34 and 5,728.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,205.29 : 14,082.34 = 5,728.17 : x
2. Step 2: Convert to fraction form
   10,205.29/14,082.34 = 5,728.17/x
3. Step 3: Cross multiply
   10,205.29x = 14,082.34 × 5,728.17
4. Step 4: Simplify right side
   10,205.29x = 80,665,943.76
5. Step 5: Solve for x
   x = 80,665,943.76/10,205.29
6. Step 6: Final answer
   x = 7,904.33