Finding the Fourth Proportional to 3,882.96, 5,357.61 and 3,256.02

Step by Step Solution

1. Step 1: Write the proportion equation
   3,882.96 : 5,357.61 = 3,256.02 : x
2. Step 2: Convert to fraction form
   3,882.96/5,357.61 = 3,256.02/x
3. Step 3: Cross multiply
   3,882.96x = 5,357.61 × 3,256.02
4. Step 4: Simplify right side
   3,882.96x = 17,444,485.31
5. Step 5: Solve for x
   x = 17,444,485.31/3,882.96
6. Step 6: Final answer
   x = 4,492.57