Finding the Fourth Proportional to 1,411.82, 1,948.23 and 852.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.82 : 1,948.23 = 852.47 : x
2. Step 2: Convert to fraction form
   1,411.82/1,948.23 = 852.47/x
3. Step 3: Cross multiply
   1,411.82x = 1,948.23 × 852.47
4. Step 4: Simplify right side
   1,411.82x = 1,660,807.63
5. Step 5: Solve for x
   x = 1,660,807.63/1,411.82
6. Step 6: Final answer
   x = 1,176.36