Finding the Fourth Proportional to 1,705.50, 2,353.20 and 959.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,705.50 : 2,353.20 = 959.42 : x
2. Step 2: Convert to fraction form
   1,705.50/2,353.20 = 959.42/x
3. Step 3: Cross multiply
   1,705.50x = 2,353.20 × 959.42
4. Step 4: Simplify right side
   1,705.50x = 2,257,707.14
5. Step 5: Solve for x
   x = 2,257,707.14/1,705.50
6. Step 6: Final answer
   x = 1,323.78