Finding the Fourth Proportional to 10,301.02, 14,217.54 and 5,824.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,301.02 : 14,217.54 = 5,824.96 : x
2. Step 2: Convert to fraction form
   10,301.02/14,217.54 = 5,824.96/x
3. Step 3: Cross multiply
   10,301.02x = 14,217.54 × 5,824.96
4. Step 4: Simplify right side
   10,301.02x = 82,816,601.80
5. Step 5: Solve for x
   x = 82,816,601.80/10,301.02
6. Step 6: Final answer
   x = 8,039.65