Finding the Fourth Proportional to 3,106.82, 4,287.42 and 1,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,106.82 : 4,287.42 = 1,780.50 : x
2. Step 2: Convert to fraction form
   3,106.82/4,287.42 = 1,780.50/x
3. Step 3: Cross multiply
   3,106.82x = 4,287.42 × 1,780.50
4. Step 4: Simplify right side
   3,106.82x = 7,633,751.31
5. Step 5: Solve for x
   x = 7,633,751.31/3,106.82
6. Step 6: Final answer
   x = 2,457.09