Finding the Fourth Proportional to 1,610.01, 2,414.79 and 685.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,610.01 : 2,414.79 = 685.10 : x
2. Step 2: Convert to fraction form
   1,610.01/2,414.79 = 685.10/x
3. Step 3: Cross multiply
   1,610.01x = 2,414.79 × 685.10
4. Step 4: Simplify right side
   1,610.01x = 1,654,360.56
5. Step 5: Solve for x
   x = 1,654,360.56/1,610.01
6. Step 6: Final answer
   x = 1,027.55