Finding the Fourth Proportional to 2,078.56, 2,868.30 and 1,147

Step by Step Solution

1. Step 1: Write the proportion equation
   2,078.56 : 2,868.30 = 1,147 : x
2. Step 2: Convert to fraction form
   2,078.56/2,868.30 = 1,147/x
3. Step 3: Cross multiply
   2,078.56x = 2,868.30 × 1,147
4. Step 4: Simplify right side
   2,078.56x = 3,289,940.10
5. Step 5: Solve for x
   x = 3,289,940.10/2,078.56
6. Step 6: Final answer
   x = 1,582.80