Finding the Fourth Proportional to 3,856.12, 5,782.02 and 1,663.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,856.12 : 5,782.02 = 1,663.72 : x
2. Step 2: Convert to fraction form
   3,856.12/5,782.02 = 1,663.72/x
3. Step 3: Cross multiply
   3,856.12x = 5,782.02 × 1,663.72
4. Step 4: Simplify right side
   3,856.12x = 9,619,662.31
5. Step 5: Solve for x
   x = 9,619,662.31/3,856.12
6. Step 6: Final answer
   x = 2,494.65