Finding the Fourth Proportional to 1,442.26, 1,990.74 and 852.99

Step by Step Solution

1. Step 1: Write the proportion equation
   1,442.26 : 1,990.74 = 852.99 : x
2. Step 2: Convert to fraction form
   1,442.26/1,990.74 = 852.99/x
3. Step 3: Cross multiply
   1,442.26x = 1,990.74 × 852.99
4. Step 4: Simplify right side
   1,442.26x = 1,698,081.31
5. Step 5: Solve for x
   x = 1,698,081.31/1,442.26
6. Step 6: Final answer
   x = 1,177.38