Finding the Fourth Proportional to 10,934.16, 16,391.90 and 5,009.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,934.16 : 16,391.90 = 5,009.06 : x
2. Step 2: Convert to fraction form
   10,934.16/16,391.90 = 5,009.06/x
3. Step 3: Cross multiply
   10,934.16x = 16,391.90 × 5,009.06
4. Step 4: Simplify right side
   10,934.16x = 82,107,985.57
5. Step 5: Solve for x
   x = 82,107,985.57/10,934.16
6. Step 6: Final answer
   x = 7,509.31