Finding the Fourth Proportional to 5,178.36, 7,776.72 and 4,766.52

Step by Step Solution

1. Step 1: Write the proportion equation
   5,178.36 : 7,776.72 = 4,766.52 : x
2. Step 2: Convert to fraction form
   5,178.36/7,776.72 = 4,766.52/x
3. Step 3: Cross multiply
   5,178.36x = 7,776.72 × 4,766.52
4. Step 4: Simplify right side
   5,178.36x = 37,067,891.41
5. Step 5: Solve for x
   x = 37,067,891.41/5,178.36
6. Step 6: Final answer
   x = 7,158.23