Finding the Fourth Proportional to 2,048.52, 2,826.78 and 1,164.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,048.52 : 2,826.78 = 1,164.28 : x
2. Step 2: Convert to fraction form
   2,048.52/2,826.78 = 1,164.28/x
3. Step 3: Cross multiply
   2,048.52x = 2,826.78 × 1,164.28
4. Step 4: Simplify right side
   2,048.52x = 3,291,163.42
5. Step 5: Solve for x
   x = 3,291,163.42/2,048.52
6. Step 6: Final answer
   x = 1,606.61