Finding the Fourth Proportional to 1,144.09, 1,578.83 and 646.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,144.09 : 1,578.83 = 646.77 : x
2. Step 2: Convert to fraction form
   1,144.09/1,578.83 = 646.77/x
3. Step 3: Cross multiply
   1,144.09x = 1,578.83 × 646.77
4. Step 4: Simplify right side
   1,144.09x = 1,021,141.50
5. Step 5: Solve for x
   x = 1,021,141.50/1,144.09
6. Step 6: Final answer
   x = 892.54