Finding the Fourth Proportional to 1,644.64, 2,462.64 and 1,123.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,644.64 : 2,462.64 = 1,123.42 : x
2. Step 2: Convert to fraction form
   1,644.64/2,462.64 = 1,123.42/x
3. Step 3: Cross multiply
   1,644.64x = 2,462.64 × 1,123.42
4. Step 4: Simplify right side
   1,644.64x = 2,766,579.03
5. Step 5: Solve for x
   x = 2,766,579.03/1,644.64
6. Step 6: Final answer
   x = 1,682.18