Finding the Fourth Proportional to 2,882.52, 3,978.42 and 2,297.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,882.52 : 3,978.42 = 2,297.64 : x
2. Step 2: Convert to fraction form
   2,882.52/3,978.42 = 2,297.64/x
3. Step 3: Cross multiply
   2,882.52x = 3,978.42 × 2,297.64
4. Step 4: Simplify right side
   2,882.52x = 9,140,976.93
5. Step 5: Solve for x
   x = 9,140,976.93/2,882.52
6. Step 6: Final answer
   x = 3,171.18