Finding the Fourth Proportional to 1,411.73, 1,948.29 and 852.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.73 : 1,948.29 = 852.34 : x
2. Step 2: Convert to fraction form
   1,411.73/1,948.29 = 852.34/x
3. Step 3: Cross multiply
   1,411.73x = 1,948.29 × 852.34
4. Step 4: Simplify right side
   1,411.73x = 1,660,605.50
5. Step 5: Solve for x
   x = 1,660,605.50/1,411.73
6. Step 6: Final answer
   x = 1,176.29