Finding the Fourth Proportional to 11,007.80, 16,513.67 and 5,164.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,007.80 : 16,513.67 = 5,164.25 : x
2. Step 2: Convert to fraction form
   11,007.80/16,513.67 = 5,164.25/x
3. Step 3: Cross multiply
   11,007.80x = 16,513.67 × 5,164.25
4. Step 4: Simplify right side
   11,007.80x = 85,280,694.48
5. Step 5: Solve for x
   x = 85,280,694.48/11,007.80
6. Step 6: Final answer
   x = 7,747.30