Finding the Fourth Proportional to 1,686.27, 2,327.79 and 1,023.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,686.27 : 2,327.79 = 1,023.33 : x
2. Step 2: Convert to fraction form
   1,686.27/2,327.79 = 1,023.33/x
3. Step 3: Cross multiply
   1,686.27x = 2,327.79 × 1,023.33
4. Step 4: Simplify right side
   1,686.27x = 2,382,104.15
5. Step 5: Solve for x
   x = 2,382,104.15/1,686.27
6. Step 6: Final answer
   x = 1,412.65