Finding the Fourth Proportional to 1,411.55, 1,948.16 and 852.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.55 : 1,948.16 = 852.05 : x
2. Step 2: Convert to fraction form
   1,411.55/1,948.16 = 852.05/x
3. Step 3: Cross multiply
   1,411.55x = 1,948.16 × 852.05
4. Step 4: Simplify right side
   1,411.55x = 1,659,936.73
5. Step 5: Solve for x
   x = 1,659,936.73/1,411.55
6. Step 6: Final answer
   x = 1,175.97