Finding the Fourth Proportional to 3,864.56, 5,785.80 and 3,619.34

Step by Step Solution

1. Step 1: Write the proportion equation
   3,864.56 : 5,785.80 = 3,619.34 : x
2. Step 2: Convert to fraction form
   3,864.56/5,785.80 = 3,619.34/x
3. Step 3: Cross multiply
   3,864.56x = 5,785.80 × 3,619.34
4. Step 4: Simplify right side
   3,864.56x = 20,940,777.37
5. Step 5: Solve for x
   x = 20,940,777.37/3,864.56
6. Step 6: Final answer
   x = 5,418.67