Finding the Fourth Proportional to 10,036.27, 13,834.56 and 8,264.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,036.27 : 13,834.56 = 8,264.80 : x
2. Step 2: Convert to fraction form
   10,036.27/13,834.56 = 8,264.80/x
3. Step 3: Cross multiply
   10,036.27x = 13,834.56 × 8,264.80
4. Step 4: Simplify right side
   10,036.27x = 114,339,871.49
5. Step 5: Solve for x
   x = 114,339,871.49/10,036.27
6. Step 6: Final answer
   x = 11,392.67