Finding the Fourth Proportional to 1,686.72, 2,327.90 and 1,023.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,686.72 : 2,327.90 = 1,023.58 : x
2. Step 2: Convert to fraction form
   1,686.72/2,327.90 = 1,023.58/x
3. Step 3: Cross multiply
   1,686.72x = 2,327.90 × 1,023.58
4. Step 4: Simplify right side
   1,686.72x = 2,382,791.88
5. Step 5: Solve for x
   x = 2,382,791.88/1,686.72
6. Step 6: Final answer
   x = 1,412.68