Finding the Fourth Proportional to 10,574.29, 14,592.50 and 5,858.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,574.29 : 14,592.50 = 5,858.57 : x
2. Step 2: Convert to fraction form
   10,574.29/14,592.50 = 5,858.57/x
3. Step 3: Cross multiply
   10,574.29x = 14,592.50 × 5,858.57
4. Step 4: Simplify right side
   10,574.29x = 85,491,153.43
5. Step 5: Solve for x
   x = 85,491,153.43/10,574.29
6. Step 6: Final answer
   x = 8,084.82