Finding the Fourth Proportional to 10,760.91, 16,142.89 and 5,209.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,760.91 : 16,142.89 = 5,209.68 : x
2. Step 2: Convert to fraction form
   10,760.91/16,142.89 = 5,209.68/x
3. Step 3: Cross multiply
   10,760.91x = 16,142.89 × 5,209.68
4. Step 4: Simplify right side
   10,760.91x = 84,099,291.18
5. Step 5: Solve for x
   x = 84,099,291.18/10,760.91
6. Step 6: Final answer
   x = 7,815.26