Finding the Fourth Proportional to 2,048.42, 2,826.78 and 1,116.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,048.42 : 2,826.78 = 1,116.92 : x
2. Step 2: Convert to fraction form
   2,048.42/2,826.78 = 1,116.92/x
3. Step 3: Cross multiply
   2,048.42x = 2,826.78 × 1,116.92
4. Step 4: Simplify right side
   2,048.42x = 3,157,287.12
5. Step 5: Solve for x
   x = 3,157,287.12/2,048.42
6. Step 6: Final answer
   x = 1,541.33