Finding the Fourth Proportional to 1,611.16, 2,414.48 and 685.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,611.16 : 2,414.48 = 685.46 : x
2. Step 2: Convert to fraction form
   1,611.16/2,414.48 = 685.46/x
3. Step 3: Cross multiply
   1,611.16x = 2,414.48 × 685.46
4. Step 4: Simplify right side
   1,611.16x = 1,655,032.07
5. Step 5: Solve for x
   x = 1,655,032.07/1,611.16
6. Step 6: Final answer
   x = 1,027.23