Finding the Fourth Proportional to 5,182.25, 7,776.71 and 5,163.12

Step by Step Solution

1. Step 1: Write the proportion equation
   5,182.25 : 7,776.71 = 5,163.12 : x
2. Step 2: Convert to fraction form
   5,182.25/7,776.71 = 5,163.12/x
3. Step 3: Cross multiply
   5,182.25x = 7,776.71 × 5,163.12
4. Step 4: Simplify right side
   5,182.25x = 40,152,058.61
5. Step 5: Solve for x
   x = 40,152,058.61/5,182.25
6. Step 6: Final answer
   x = 7,747.99