Finding the Fourth Proportional to 1,608.50, 2,411.67 and 742.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,608.50 : 2,411.67 = 742.34 : x
2. Step 2: Convert to fraction form
   1,608.50/2,411.67 = 742.34/x
3. Step 3: Cross multiply
   1,608.50x = 2,411.67 × 742.34
4. Step 4: Simplify right side
   1,608.50x = 1,790,279.11
5. Step 5: Solve for x
   x = 1,790,279.11/1,608.50
6. Step 6: Final answer
   x = 1,113.01