Finding the Fourth Proportional to 2,882.81, 3,978.96 and 2,410.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,882.81 : 3,978.96 = 2,410.22 : x
2. Step 2: Convert to fraction form
   2,882.81/3,978.96 = 2,410.22/x
3. Step 3: Cross multiply
   2,882.81x = 3,978.96 × 2,410.22
4. Step 4: Simplify right side
   2,882.81x = 9,590,168.97
5. Step 5: Solve for x
   x = 9,590,168.97/2,882.81
6. Step 6: Final answer
   x = 3,326.67