Finding the Fourth Proportional to 10,572.84, 14,591.34 and 5,857.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,572.84 : 14,591.34 = 5,857.56 : x
2. Step 2: Convert to fraction form
   10,572.84/14,591.34 = 5,857.56/x
3. Step 3: Cross multiply
   10,572.84x = 14,591.34 × 5,857.56
4. Step 4: Simplify right side
   10,572.84x = 85,469,649.53
5. Step 5: Solve for x
   x = 85,469,649.53/10,572.84
6. Step 6: Final answer
   x = 8,083.89