Finding the Fourth Proportional to 10,206.10, 14,083.96 and 5,729.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,206.10 : 14,083.96 = 5,729.77 : x
2. Step 2: Convert to fraction form
   10,206.10/14,083.96 = 5,729.77/x
3. Step 3: Cross multiply
   10,206.10x = 14,083.96 × 5,729.77
4. Step 4: Simplify right side
   10,206.10x = 80,697,752.42
5. Step 5: Solve for x
   x = 80,697,752.42/10,206.10
6. Step 6: Final answer
   x = 7,906.82