Finding the Fourth Proportional to 1,685.46, 2,325.57 and 1,022.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,685.46 : 2,325.57 = 1,022.34 : x
2. Step 2: Convert to fraction form
   1,685.46/2,325.57 = 1,022.34/x
3. Step 3: Cross multiply
   1,685.46x = 2,325.57 × 1,022.34
4. Step 4: Simplify right side
   1,685.46x = 2,377,523.23
5. Step 5: Solve for x
   x = 2,377,523.23/1,685.46
6. Step 6: Final answer
   x = 1,410.61