Finding the Fourth Proportional to 1,686.89, 2,327.50 and 1,023.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,686.89 : 2,327.50 = 1,023.72 : x
2. Step 2: Convert to fraction form
   1,686.89/2,327.50 = 1,023.72/x
3. Step 3: Cross multiply
   1,686.89x = 2,327.50 × 1,023.72
4. Step 4: Simplify right side
   1,686.89x = 2,382,703.18
5. Step 5: Solve for x
   x = 2,382,703.18/1,686.89
6. Step 6: Final answer
   x = 1,412.49