Finding the Fourth Proportional to 1,144.37, 1,578.84 and 646.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,144.37 : 1,578.84 = 646.82 : x
2. Step 2: Convert to fraction form
   1,144.37/1,578.84 = 646.82/x
3. Step 3: Cross multiply
   1,144.37x = 1,578.84 × 646.82
4. Step 4: Simplify right side
   1,144.37x = 1,021,217.39
5. Step 5: Solve for x
   x = 1,021,217.39/1,144.37
6. Step 6: Final answer
   x = 892.39