Finding the Fourth Proportional to 1,144.13, 1,578.96 and 646.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,144.13 : 1,578.96 = 646.76 : x
2. Step 2: Convert to fraction form
   1,144.13/1,578.96 = 646.76/x
3. Step 3: Cross multiply
   1,144.13x = 1,578.96 × 646.76
4. Step 4: Simplify right side
   1,144.13x = 1,021,200.27
5. Step 5: Solve for x
   x = 1,021,200.27/1,144.13
6. Step 6: Final answer
   x = 892.56