Finding the Fourth Proportional to 10,580.29, 14,599.71 and 5,864.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,580.29 : 14,599.71 = 5,864.27 : x
2. Step 2: Convert to fraction form
   10,580.29/14,599.71 = 5,864.27/x
3. Step 3: Cross multiply
   10,580.29x = 14,599.71 × 5,864.27
4. Step 4: Simplify right side
   10,580.29x = 85,616,568.36
5. Step 5: Solve for x
   x = 85,616,568.36/10,580.29
6. Step 6: Final answer
   x = 8,092.08