Finding the Fourth Proportional to 10,648.92, 15,984.54 and 5,106.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,648.92 : 15,984.54 = 5,106.96 : x
2. Step 2: Convert to fraction form
   10,648.92/15,984.54 = 5,106.96/x
3. Step 3: Cross multiply
   10,648.92x = 15,984.54 × 5,106.96
4. Step 4: Simplify right side
   10,648.92x = 81,632,406.40
5. Step 5: Solve for x
   x = 81,632,406.40/10,648.92
6. Step 6: Final answer
   x = 7,665.79