Finding the Fourth Proportional to 1,074.01, 1,609.60 and 682.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,074.01 : 1,609.60 = 682.78 : x
2. Step 2: Convert to fraction form
   1,074.01/1,609.60 = 682.78/x
3. Step 3: Cross multiply
   1,074.01x = 1,609.60 × 682.78
4. Step 4: Simplify right side
   1,074.01x = 1,099,002.69
5. Step 5: Solve for x
   x = 1,099,002.69/1,074.01
6. Step 6: Final answer
   x = 1,023.27