Finding the Fourth Proportional to 1,442.24, 1,990.26 and 852.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,442.24 : 1,990.26 = 852.68 : x
2. Step 2: Convert to fraction form
   1,442.24/1,990.26 = 852.68/x
3. Step 3: Cross multiply
   1,442.24x = 1,990.26 × 852.68
4. Step 4: Simplify right side
   1,442.24x = 1,697,044.95
5. Step 5: Solve for x
   x = 1,697,044.95/1,442.24
6. Step 6: Final answer
   x = 1,176.68