Finding the Fourth Proportional to 2,557.31, 3,527.10 and 1,648.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.31 : 3,527.10 = 1,648.53 : x
2. Step 2: Convert to fraction form
   2,557.31/3,527.10 = 1,648.53/x
3. Step 3: Cross multiply
   2,557.31x = 3,527.10 × 1,648.53
4. Step 4: Simplify right side
   2,557.31x = 5,814,530.16
5. Step 5: Solve for x
   x = 5,814,530.16/2,557.31
6. Step 6: Final answer
   x = 2,273.69