Finding the Fourth Proportional to 1,608.34, 2,411.78 and 742

Step by Step Solution

1. Step 1: Write the proportion equation
   1,608.34 : 2,411.78 = 742 : x
2. Step 2: Convert to fraction form
   1,608.34/2,411.78 = 742/x
3. Step 3: Cross multiply
   1,608.34x = 2,411.78 × 742
4. Step 4: Simplify right side
   1,608.34x = 1,789,540.76
5. Step 5: Solve for x
   x = 1,789,540.76/1,608.34
6. Step 6: Final answer
   x = 1,112.66