Finding the Fourth Proportional to 1,984.80, 2,974.86 and 685.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,984.80 : 2,974.86 = 685.56 : x
2. Step 2: Convert to fraction form
   1,984.80/2,974.86 = 685.56/x
3. Step 3: Cross multiply
   1,984.80x = 2,974.86 × 685.56
4. Step 4: Simplify right side
   1,984.80x = 2,039,445.02
5. Step 5: Solve for x
   x = 2,039,445.02/1,984.80
6. Step 6: Final answer
   x = 1,027.53