Finding the Fourth Proportional to 1,686.38, 2,527.94 and 865.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,686.38 : 2,527.94 = 865.04 : x
2. Step 2: Convert to fraction form
   1,686.38/2,527.94 = 865.04/x
3. Step 3: Cross multiply
   1,686.38x = 2,527.94 × 865.04
4. Step 4: Simplify right side
   1,686.38x = 2,186,764.89
5. Step 5: Solve for x
   x = 2,186,764.89/1,686.38
6. Step 6: Final answer
   x = 1,296.72