Finding the Fourth Proportional to 3,199.16, 4,414.71 and 1,782.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,199.16 : 4,414.71 = 1,782.78 : x
2. Step 2: Convert to fraction form
   3,199.16/4,414.71 = 1,782.78/x
3. Step 3: Cross multiply
   3,199.16x = 4,414.71 × 1,782.78
4. Step 4: Simplify right side
   3,199.16x = 7,870,456.69
5. Step 5: Solve for x
   x = 7,870,456.69/3,199.16
6. Step 6: Final answer
   x = 2,460.16