Finding the Fourth Proportional to 6,477.52, 9,711.66 and 3,189.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,477.52 : 9,711.66 = 3,189.82 : x
2. Step 2: Convert to fraction form
   6,477.52/9,711.66 = 3,189.82/x
3. Step 3: Cross multiply
   6,477.52x = 9,711.66 × 3,189.82
4. Step 4: Simplify right side
   6,477.52x = 30,978,447.30
5. Step 5: Solve for x
   x = 30,978,447.30/6,477.52
6. Step 6: Final answer
   x = 4,782.45