Finding the Fourth Proportional to 10,084.09, 15,112.99 and 5,149.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,084.09 : 15,112.99 = 5,149.57 : x
2. Step 2: Convert to fraction form
   10,084.09/15,112.99 = 5,149.57/x
3. Step 3: Cross multiply
   10,084.09x = 15,112.99 × 5,149.57
4. Step 4: Simplify right side
   10,084.09x = 77,825,399.91
5. Step 5: Solve for x
   x = 77,825,399.91/10,084.09
6. Step 6: Final answer
   x = 7,717.64