Finding the Fourth Proportional to 10,215.09, 15,329.16 and 5,538.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,215.09 : 15,329.16 = 5,538.38 : x
2. Step 2: Convert to fraction form
   10,215.09/15,329.16 = 5,538.38/x
3. Step 3: Cross multiply
   10,215.09x = 15,329.16 × 5,538.38
4. Step 4: Simplify right side
   10,215.09x = 84,898,636.52
5. Step 5: Solve for x
   x = 84,898,636.52/10,215.09
6. Step 6: Final answer
   x = 8,311.10