Finding the Fourth Proportional to 1,687.69, 2,327.81 and 1,463.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,687.69 : 2,327.81 = 1,463.23 : x
2. Step 2: Convert to fraction form
   1,687.69/2,327.81 = 1,463.23/x
3. Step 3: Cross multiply
   1,687.69x = 2,327.81 × 1,463.23
4. Step 4: Simplify right side
   1,687.69x = 3,406,129.37
5. Step 5: Solve for x
   x = 3,406,129.37/1,687.69
6. Step 6: Final answer
   x = 2,018.21