Finding the Fourth Proportional to 1,506.80, 2,260.55 and 685.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,506.80 : 2,260.55 = 685.31 : x
2. Step 2: Convert to fraction form
   1,506.80/2,260.55 = 685.31/x
3. Step 3: Cross multiply
   1,506.80x = 2,260.55 × 685.31
4. Step 4: Simplify right side
   1,506.80x = 1,549,177.52
5. Step 5: Solve for x
   x = 1,549,177.52/1,506.80
6. Step 6: Final answer
   x = 1,028.12