Finding the Fourth Proportional to 10,282.43, 14,189.69 and 5,806.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,282.43 : 14,189.69 = 5,806.23 : x
2. Step 2: Convert to fraction form
   10,282.43/14,189.69 = 5,806.23/x
3. Step 3: Cross multiply
   10,282.43x = 14,189.69 × 5,806.23
4. Step 4: Simplify right side
   10,282.43x = 82,388,574.74
5. Step 5: Solve for x
   x = 82,388,574.74/10,282.43
6. Step 6: Final answer
   x = 8,012.56