Finding the Fourth Proportional to 2,048.10, 2,826.27 and 1,261.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,048.10 : 2,826.27 = 1,261.86 : x
2. Step 2: Convert to fraction form
   2,048.10/2,826.27 = 1,261.86/x
3. Step 3: Cross multiply
   2,048.10x = 2,826.27 × 1,261.86
4. Step 4: Simplify right side
   2,048.10x = 3,566,357.06
5. Step 5: Solve for x
   x = 3,566,357.06/2,048.10
6. Step 6: Final answer
   x = 1,741.30