Finding the Fourth Proportional to 9,519.56, 14,285.83 and 5,723.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,519.56 : 14,285.83 = 5,723.50 : x
2. Step 2: Convert to fraction form
   9,519.56/14,285.83 = 5,723.50/x
3. Step 3: Cross multiply
   9,519.56x = 14,285.83 × 5,723.50
4. Step 4: Simplify right side
   9,519.56x = 81,764,897.98
5. Step 5: Solve for x
   x = 81,764,897.98/9,519.56
6. Step 6: Final answer
   x = 8,589.14