Finding the Fourth Proportional to 1,411.36, 1,947.31 and 852.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.36 : 1,947.31 = 852.14 : x
2. Step 2: Convert to fraction form
   1,411.36/1,947.31 = 852.14/x
3. Step 3: Cross multiply
   1,411.36x = 1,947.31 × 852.14
4. Step 4: Simplify right side
   1,411.36x = 1,659,383.48
5. Step 5: Solve for x
   x = 1,659,383.48/1,411.36
6. Step 6: Final answer
   x = 1,175.74