Finding the Fourth Proportional to 1,644, 2,268.72 and 1,023

Step by Step Solution

1. Step 1: Write the proportion equation
   1,644 : 2,268.72 = 1,023 : x
2. Step 2: Convert to fraction form
   1,644/2,268.72 = 1,023/x
3. Step 3: Cross multiply
   1,644x = 2,268.72 × 1,023
4. Step 4: Simplify right side
   1,644x = 2,320,900.56
5. Step 5: Solve for x
   x = 2,320,900.56/1,644
6. Step 6: Final answer
   x = 1,411.74