Finding the Fourth Proportional to 1,411.50, 1,948.05 and 852.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.50 : 1,948.05 = 852.28 : x
2. Step 2: Convert to fraction form
   1,411.50/1,948.05 = 852.28/x
3. Step 3: Cross multiply
   1,411.50x = 1,948.05 × 852.28
4. Step 4: Simplify right side
   1,411.50x = 1,660,284.05
5. Step 5: Solve for x
   x = 1,660,284.05/1,411.50
6. Step 6: Final answer
   x = 1,176.26