Finding the Fourth Proportional to 10,287, 14,196.67 and 5,810.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,287 : 14,196.67 = 5,810.64 : x
2. Step 2: Convert to fraction form
   10,287/14,196.67 = 5,810.64/x
3. Step 3: Cross multiply
   10,287x = 14,196.67 × 5,810.64
4. Step 4: Simplify right side
   10,287x = 82,491,670.80
5. Step 5: Solve for x
   x = 82,491,670.80/10,287
6. Step 6: Final answer
   x = 8,019.02