Finding the Fourth Proportional to 10,282.40, 14,189.71 and 5,806.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,282.40 : 14,189.71 = 5,806.15 : x
2. Step 2: Convert to fraction form
   10,282.40/14,189.71 = 5,806.15/x
3. Step 3: Cross multiply
   10,282.40x = 14,189.71 × 5,806.15
4. Step 4: Simplify right side
   10,282.40x = 82,387,554.94
5. Step 5: Solve for x
   x = 82,387,554.94/10,282.40
6. Step 6: Final answer
   x = 8,012.49