Finding the Fourth Proportional to 1,648.69, 2,275.97 and 1,019.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.69 : 2,275.97 = 1,019.57 : x
2. Step 2: Convert to fraction form
   1,648.69/2,275.97 = 1,019.57/x
3. Step 3: Cross multiply
   1,648.69x = 2,275.97 × 1,019.57
4. Step 4: Simplify right side
   1,648.69x = 2,320,494.26
5. Step 5: Solve for x
   x = 2,320,494.26/1,648.69
6. Step 6: Final answer
   x = 1,407.48