Finding the Fourth Proportional to 1,411.56, 1,947.36 and 852.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.56 : 1,947.36 = 852.03 : x
2. Step 2: Convert to fraction form
   1,411.56/1,947.36 = 852.03/x
3. Step 3: Cross multiply
   1,411.56x = 1,947.36 × 852.03
4. Step 4: Simplify right side
   1,411.56x = 1,659,209.14
5. Step 5: Solve for x
   x = 1,659,209.14/1,411.56
6. Step 6: Final answer
   x = 1,175.44