Finding the Fourth Proportional to 10,300.71, 14,217.03 and 5,824.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300.71 : 14,217.03 = 5,824.47 : x
2. Step 2: Convert to fraction form
   10,300.71/14,217.03 = 5,824.47/x
3. Step 3: Cross multiply
   10,300.71x = 14,217.03 × 5,824.47
4. Step 4: Simplify right side
   10,300.71x = 82,806,664.72
5. Step 5: Solve for x
   x = 82,806,664.72/10,300.71
6. Step 6: Final answer
   x = 8,038.93