Finding the Fourth Proportional to 1,782.39, 2,456.82 and 1,408.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,782.39 : 2,456.82 = 1,408.71 : x
2. Step 2: Convert to fraction form
   1,782.39/2,456.82 = 1,408.71/x
3. Step 3: Cross multiply
   1,782.39x = 2,456.82 × 1,408.71
4. Step 4: Simplify right side
   1,782.39x = 3,460,946.90
5. Step 5: Solve for x
   x = 3,460,946.90/1,782.39
6. Step 6: Final answer
   x = 1,941.75