Finding the Fourth Proportional to 10,711.84, 16,078.14 and 5,169.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,711.84 : 16,078.14 = 5,169.08 : x
2. Step 2: Convert to fraction form
   10,711.84/16,078.14 = 5,169.08/x
3. Step 3: Cross multiply
   10,711.84x = 16,078.14 × 5,169.08
4. Step 4: Simplify right side
   10,711.84x = 83,109,191.91
5. Step 5: Solve for x
   x = 83,109,191.91/10,711.84
6. Step 6: Final answer
   x = 7,758.63