Finding the Fourth Proportional to 10,573.72, 14,591.22 and 5,857.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,573.72 : 14,591.22 = 5,857.64 : x
2. Step 2: Convert to fraction form
   10,573.72/14,591.22 = 5,857.64/x
3. Step 3: Cross multiply
   10,573.72x = 14,591.22 × 5,857.64
4. Step 4: Simplify right side
   10,573.72x = 85,470,113.92
5. Step 5: Solve for x
   x = 85,470,113.92/10,573.72
6. Step 6: Final answer
   x = 8,083.26