Finding the Fourth Proportional to 10,686.48, 16,015.90 and 5,128.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,686.48 : 16,015.90 = 5,128.24 : x
2. Step 2: Convert to fraction form
   10,686.48/16,015.90 = 5,128.24/x
3. Step 3: Cross multiply
   10,686.48x = 16,015.90 × 5,128.24
4. Step 4: Simplify right side
   10,686.48x = 82,133,379.02
5. Step 5: Solve for x
   x = 82,133,379.02/10,686.48
6. Step 6: Final answer
   x = 7,685.73