Finding the Fourth Proportional to 10,522.29, 14,520.63 and 5,806.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,522.29 : 14,520.63 = 5,806.27 : x
2. Step 2: Convert to fraction form
   10,522.29/14,520.63 = 5,806.27/x
3. Step 3: Cross multiply
   10,522.29x = 14,520.63 × 5,806.27
4. Step 4: Simplify right side
   10,522.29x = 84,310,698.35
5. Step 5: Solve for x
   x = 84,310,698.35/10,522.29
6. Step 6: Final answer
   x = 8,012.58