Finding the Fourth Proportional to 1,411.74, 1,948.72 and 852.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.74 : 1,948.72 = 852.23 : x
2. Step 2: Convert to fraction form
   1,411.74/1,948.72 = 852.23/x
3. Step 3: Cross multiply
   1,411.74x = 1,948.72 × 852.23
4. Step 4: Simplify right side
   1,411.74x = 1,660,757.65
5. Step 5: Solve for x
   x = 1,660,757.65/1,411.74
6. Step 6: Final answer
   x = 1,176.39