Finding the Fourth Proportional to 10,012.24, 13,816.50 and 5,979.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,012.24 : 13,816.50 = 5,979.75 : x
2. Step 2: Convert to fraction form
   10,012.24/13,816.50 = 5,979.75/x
3. Step 3: Cross multiply
   10,012.24x = 13,816.50 × 5,979.75
4. Step 4: Simplify right side
   10,012.24x = 82,619,215.88
5. Step 5: Solve for x
   x = 82,619,215.88/10,012.24
6. Step 6: Final answer
   x = 8,251.82