Finding the Fourth Proportional to 1,686.57, 2,527.92 and 841.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,686.57 : 2,527.92 = 841.83 : x
2. Step 2: Convert to fraction form
   1,686.57/2,527.92 = 841.83/x
3. Step 3: Cross multiply
   1,686.57x = 2,527.92 × 841.83
4. Step 4: Simplify right side
   1,686.57x = 2,128,078.89
5. Step 5: Solve for x
   x = 2,128,078.89/1,686.57
6. Step 6: Final answer
   x = 1,261.78