Finding the Fourth Proportional to 2,057.68, 3,085.78 and 670.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,057.68 : 3,085.78 = 670.75 : x
2. Step 2: Convert to fraction form
   2,057.68/3,085.78 = 670.75/x
3. Step 3: Cross multiply
   2,057.68x = 3,085.78 × 670.75
4. Step 4: Simplify right side
   2,057.68x = 2,069,786.94
5. Step 5: Solve for x
   x = 2,069,786.94/2,057.68
6. Step 6: Final answer
   x = 1,005.88