Finding the Fourth Proportional to 1,606.63, 2,410.31 and 682.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,606.63 : 2,410.31 = 682.22 : x
2. Step 2: Convert to fraction form
   1,606.63/2,410.31 = 682.22/x
3. Step 3: Cross multiply
   1,606.63x = 2,410.31 × 682.22
4. Step 4: Simplify right side
   1,606.63x = 1,644,361.69
5. Step 5: Solve for x
   x = 1,644,361.69/1,606.63
6. Step 6: Final answer
   x = 1,023.48