Finding the Fourth Proportional to 10,206.27, 14,085.90 and 5,730.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,206.27 : 14,085.90 = 5,730.21 : x
2. Step 2: Convert to fraction form
   10,206.27/14,085.90 = 5,730.21/x
3. Step 3: Cross multiply
   10,206.27x = 14,085.90 × 5,730.21
4. Step 4: Simplify right side
   10,206.27x = 80,715,165.04
5. Step 5: Solve for x
   x = 80,715,165.04/10,206.27
6. Step 6: Final answer
   x = 7,908.39