Finding the Fourth Proportional to 10,522.14, 14,519.83 and 5,806.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,522.14 : 14,519.83 = 5,806.50 : x
2. Step 2: Convert to fraction form
   10,522.14/14,519.83 = 5,806.50/x
3. Step 3: Cross multiply
   10,522.14x = 14,519.83 × 5,806.50
4. Step 4: Simplify right side
   10,522.14x = 84,309,392.90
5. Step 5: Solve for x
   x = 84,309,392.90/10,522.14
6. Step 6: Final answer
   x = 8,012.57