Finding the Fourth Proportional to 1,442.37, 1,990.35 and 852.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,442.37 : 1,990.35 = 852.80 : x
2. Step 2: Convert to fraction form
   1,442.37/1,990.35 = 852.80/x
3. Step 3: Cross multiply
   1,442.37x = 1,990.35 × 852.80
4. Step 4: Simplify right side
   1,442.37x = 1,697,360.53
5. Step 5: Solve for x
   x = 1,697,360.53/1,442.37
6. Step 6: Final answer
   x = 1,176.79