Finding the Fourth Proportional to 10,648.09, 15,960.67 and 5,089.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,648.09 : 15,960.67 = 5,089.62 : x
2. Step 2: Convert to fraction form
   10,648.09/15,960.67 = 5,089.62/x
3. Step 3: Cross multiply
   10,648.09x = 15,960.67 × 5,089.62
4. Step 4: Simplify right side
   10,648.09x = 81,233,672.67
5. Step 5: Solve for x
   x = 81,233,672.67/10,648.09
6. Step 6: Final answer
   x = 7,628.94