Finding the Fourth Proportional to 3,856.64, 5,775.73 and 3,662.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,856.64 : 5,775.73 = 3,662.88 : x
2. Step 2: Convert to fraction form
   3,856.64/5,775.73 = 3,662.88/x
3. Step 3: Cross multiply
   3,856.64x = 5,775.73 × 3,662.88
4. Step 4: Simplify right side
   3,856.64x = 21,155,826.00
5. Step 5: Solve for x
   x = 21,155,826.00/3,856.64
6. Step 6: Final answer
   x = 5,485.56