Finding the Fourth Proportional to 2,078.52, 2,868.34 and 1,147

Step by Step Solution

1. Step 1: Write the proportion equation
   2,078.52 : 2,868.34 = 1,147 : x
2. Step 2: Convert to fraction form
   2,078.52/2,868.34 = 1,147/x
3. Step 3: Cross multiply
   2,078.52x = 2,868.34 × 1,147
4. Step 4: Simplify right side
   2,078.52x = 3,289,985.98
5. Step 5: Solve for x
   x = 3,289,985.98/2,078.52
6. Step 6: Final answer
   x = 1,582.85