Finding the Fourth Proportional to 5,648.63, 7,786.96 and 3,964.82

Step by Step Solution

1. Step 1: Write the proportion equation
   5,648.63 : 7,786.96 = 3,964.82 : x
2. Step 2: Convert to fraction form
   5,648.63/7,786.96 = 3,964.82/x
3. Step 3: Cross multiply
   5,648.63x = 7,786.96 × 3,964.82
4. Step 4: Simplify right side
   5,648.63x = 30,873,845.90
5. Step 5: Solve for x
   x = 30,873,845.90/5,648.63
6. Step 6: Final answer
   x = 5,465.73