Finding the Fourth Proportional to 1,920.50, 2,882.37 and 766.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,920.50 : 2,882.37 = 766.25 : x
2. Step 2: Convert to fraction form
   1,920.50/2,882.37 = 766.25/x
3. Step 3: Cross multiply
   1,920.50x = 2,882.37 × 766.25
4. Step 4: Simplify right side
   1,920.50x = 2,208,616.01
5. Step 5: Solve for x
   x = 2,208,616.01/1,920.50
6. Step 6: Final answer
   x = 1,150.02