Finding the Fourth Proportional to 1,711.32, 2,361.72 and 965.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,711.32 : 2,361.72 = 965.40 : x
2. Step 2: Convert to fraction form
   1,711.32/2,361.72 = 965.40/x
3. Step 3: Cross multiply
   1,711.32x = 2,361.72 × 965.40
4. Step 4: Simplify right side
   1,711.32x = 2,280,004.49
5. Step 5: Solve for x
   x = 2,280,004.49/1,711.32
6. Step 6: Final answer
   x = 1,332.31