Finding the Fourth Proportional to 1,411.37, 1,947.88 and 852.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.37 : 1,947.88 = 852.16 : x
2. Step 2: Convert to fraction form
   1,411.37/1,947.88 = 852.16/x
3. Step 3: Cross multiply
   1,411.37x = 1,947.88 × 852.16
4. Step 4: Simplify right side
   1,411.37x = 1,659,895.68
5. Step 5: Solve for x
   x = 1,659,895.68/1,411.37
6. Step 6: Final answer
   x = 1,176.09