Finding the Fourth Proportional to 5,649.63, 7,788.34 and 3,965.82

Step by Step Solution

1. Step 1: Write the proportion equation
   5,649.63 : 7,788.34 = 3,965.82 : x
2. Step 2: Convert to fraction form
   5,649.63/7,788.34 = 3,965.82/x
3. Step 3: Cross multiply
   5,649.63x = 7,788.34 × 3,965.82
4. Step 4: Simplify right side
   5,649.63x = 30,887,154.54
5. Step 5: Solve for x
   x = 30,887,154.54/5,649.63
6. Step 6: Final answer
   x = 5,467.11