Finding the Fourth Proportional to 3,109.16, 4,290.27 and 1,782.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,109.16 : 4,290.27 = 1,782.56 : x
2. Step 2: Convert to fraction form
   3,109.16/4,290.27 = 1,782.56/x
3. Step 3: Cross multiply
   3,109.16x = 4,290.27 × 1,782.56
4. Step 4: Simplify right side
   3,109.16x = 7,647,663.69
5. Step 5: Solve for x
   x = 7,647,663.69/3,109.16
6. Step 6: Final answer
   x = 2,459.72