Finding the Fourth Proportional to 1,411.86, 1,948.16 and 852.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.86 : 1,948.16 = 852.18 : x
2. Step 2: Convert to fraction form
   1,411.86/1,948.16 = 852.18/x
3. Step 3: Cross multiply
   1,411.86x = 1,948.16 × 852.18
4. Step 4: Simplify right side
   1,411.86x = 1,660,178.73
5. Step 5: Solve for x
   x = 1,660,178.73/1,411.86
6. Step 6: Final answer
   x = 1,175.88