Finding the Fourth Proportional to 3,199.10, 4,414.69 and 1,782.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,199.10 : 4,414.69 = 1,782.78 : x
2. Step 2: Convert to fraction form
   3,199.10/4,414.69 = 1,782.78/x
3. Step 3: Cross multiply
   3,199.10x = 4,414.69 × 1,782.78
4. Step 4: Simplify right side
   3,199.10x = 7,870,412.12
5. Step 5: Solve for x
   x = 7,870,412.12/3,199.10
6. Step 6: Final answer
   x = 2,460.20