Finding the Fourth Proportional to 10,206, 14,083.30 and 5,728.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,206 : 14,083.30 = 5,728.72 : x
2. Step 2: Convert to fraction form
   10,206/14,083.30 = 5,728.72/x
3. Step 3: Cross multiply
   10,206x = 14,083.30 × 5,728.72
4. Step 4: Simplify right side
   10,206x = 80,679,282.38
5. Step 5: Solve for x
   x = 80,679,282.38/10,206
6. Step 6: Final answer
   x = 7,905.08