Finding the Fourth Proportional to 2,048.52, 2,826.18 and 1,163.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,048.52 : 2,826.18 = 1,163.88 : x
2. Step 2: Convert to fraction form
   2,048.52/2,826.18 = 1,163.88/x
3. Step 3: Cross multiply
   2,048.52x = 2,826.18 × 1,163.88
4. Step 4: Simplify right side
   2,048.52x = 3,289,334.38
5. Step 5: Solve for x
   x = 3,289,334.38/2,048.52
6. Step 6: Final answer
   x = 1,605.71