Finding the Fourth Proportional to 10,266.12, 14,169.30 and 5,789.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,266.12 : 14,169.30 = 5,789.96 : x
2. Step 2: Convert to fraction form
   10,266.12/14,169.30 = 5,789.96/x
3. Step 3: Cross multiply
   10,266.12x = 14,169.30 × 5,789.96
4. Step 4: Simplify right side
   10,266.12x = 82,039,649.81
5. Step 5: Solve for x
   x = 82,039,649.81/10,266.12
6. Step 6: Final answer
   x = 7,991.30