Finding the Fourth Proportional to 10,688.99, 16,036.97 and 5,142.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,688.99 : 16,036.97 = 5,142.78 : x
2. Step 2: Convert to fraction form
   10,688.99/16,036.97 = 5,142.78/x
3. Step 3: Cross multiply
   10,688.99x = 16,036.97 × 5,142.78
4. Step 4: Simplify right side
   10,688.99x = 82,474,582.86
5. Step 5: Solve for x
   x = 82,474,582.86/10,688.99
6. Step 6: Final answer
   x = 7,715.85