Finding the Fourth Proportional to 1,144.50, 1,578.83 and 766.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,144.50 : 1,578.83 = 766.41 : x
2. Step 2: Convert to fraction form
   1,144.50/1,578.83 = 766.41/x
3. Step 3: Cross multiply
   1,144.50x = 1,578.83 × 766.41
4. Step 4: Simplify right side
   1,144.50x = 1,210,031.10
5. Step 5: Solve for x
   x = 1,210,031.10/1,144.50
6. Step 6: Final answer
   x = 1,057.26