Finding the Fourth Proportional to 2,003.50, 2,764.64 and 1,257.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.50 : 2,764.64 = 1,257.22 : x
2. Step 2: Convert to fraction form
   2,003.50/2,764.64 = 1,257.22/x
3. Step 3: Cross multiply
   2,003.50x = 2,764.64 × 1,257.22
4. Step 4: Simplify right side
   2,003.50x = 3,475,760.70
5. Step 5: Solve for x
   x = 3,475,760.70/2,003.50
6. Step 6: Final answer
   x = 1,734.84