Finding the Fourth Proportional to 10,824.55, 16,223.77 and 5,269.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,824.55 : 16,223.77 = 5,269.57 : x
2. Step 2: Convert to fraction form
   10,824.55/16,223.77 = 5,269.57/x
3. Step 3: Cross multiply
   10,824.55x = 16,223.77 × 5,269.57
4. Step 4: Simplify right side
   10,824.55x = 85,492,291.68
5. Step 5: Solve for x
   x = 85,492,291.68/10,824.55
6. Step 6: Final answer
   x = 7,898.00