Finding the Fourth Proportional to 2,048, 2,826.30 and 1,116.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,048 : 2,826.30 = 1,116.56 : x
2. Step 2: Convert to fraction form
   2,048/2,826.30 = 1,116.56/x
3. Step 3: Cross multiply
   2,048x = 2,826.30 × 1,116.56
4. Step 4: Simplify right side
   2,048x = 3,155,733.53
5. Step 5: Solve for x
   x = 3,155,733.53/2,048
6. Step 6: Final answer
   x = 1,540.89