Finding the Fourth Proportional to 10,301.28, 14,215.20 and 5,824.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,301.28 : 14,215.20 = 5,824.77 : x
2. Step 2: Convert to fraction form
   10,301.28/14,215.20 = 5,824.77/x
3. Step 3: Cross multiply
   10,301.28x = 14,215.20 × 5,824.77
4. Step 4: Simplify right side
   10,301.28x = 82,800,270.50
5. Step 5: Solve for x
   x = 82,800,270.50/10,301.28
6. Step 6: Final answer
   x = 8,037.86