Finding the Fourth Proportional to 10,814.50, 16,224.37 and 5,266.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,814.50 : 16,224.37 = 5,266.59 : x
2. Step 2: Convert to fraction form
   10,814.50/16,224.37 = 5,266.59/x
3. Step 3: Cross multiply
   10,814.50x = 16,224.37 × 5,266.59
4. Step 4: Simplify right side
   10,814.50x = 85,447,104.80
5. Step 5: Solve for x
   x = 85,447,104.80/10,814.50
6. Step 6: Final answer
   x = 7,901.16