Finding the Fourth Proportional to 1,323.86, 1,826.10 and 852.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,323.86 : 1,826.10 = 852.37 : x
2. Step 2: Convert to fraction form
   1,323.86/1,826.10 = 852.37/x
3. Step 3: Cross multiply
   1,323.86x = 1,826.10 × 852.37
4. Step 4: Simplify right side
   1,323.86x = 1,556,508.29
5. Step 5: Solve for x
   x = 1,556,508.29/1,323.86
6. Step 6: Final answer
   x = 1,175.73