Finding the Fourth Proportional to 10,266.75, 14,167.30 and 5,789.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,266.75 : 14,167.30 = 5,789.07 : x
2. Step 2: Convert to fraction form
   10,266.75/14,167.30 = 5,789.07/x
3. Step 3: Cross multiply
   10,266.75x = 14,167.30 × 5,789.07
4. Step 4: Simplify right side
   10,266.75x = 82,015,491.41
5. Step 5: Solve for x
   x = 82,015,491.41/10,266.75
6. Step 6: Final answer
   x = 7,988.46