Finding the Fourth Proportional to 3,109.14, 4,291.34 and 1,782.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,109.14 : 4,291.34 = 1,782.82 : x
2. Step 2: Convert to fraction form
   3,109.14/4,291.34 = 1,782.82/x
3. Step 3: Cross multiply
   3,109.14x = 4,291.34 × 1,782.82
4. Step 4: Simplify right side
   3,109.14x = 7,650,686.78
5. Step 5: Solve for x
   x = 7,650,686.78/3,109.14
6. Step 6: Final answer
   x = 2,460.71