Finding the Fourth Proportional to 2,402.28, 3,578.78 and 2,314.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,402.28 : 3,578.78 = 2,314.12 : x
2. Step 2: Convert to fraction form
   2,402.28/3,578.78 = 2,314.12/x
3. Step 3: Cross multiply
   2,402.28x = 3,578.78 × 2,314.12
4. Step 4: Simplify right side
   2,402.28x = 8,281,729.92
5. Step 5: Solve for x
   x = 8,281,729.92/2,402.28
6. Step 6: Final answer
   x = 3,447.44