Finding the Fourth Proportional to 2,189.28, 3,020.82 and 1,257.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,189.28 : 3,020.82 = 1,257.78 : x
2. Step 2: Convert to fraction form
   2,189.28/3,020.82 = 1,257.78/x
3. Step 3: Cross multiply
   2,189.28x = 3,020.82 × 1,257.78
4. Step 4: Simplify right side
   2,189.28x = 3,799,526.98
5. Step 5: Solve for x
   x = 3,799,526.98/2,189.28
6. Step 6: Final answer
   x = 1,735.51