Finding the Fourth Proportional to 1,500.82, 2,249.84 and 768.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,500.82 : 2,249.84 = 768.78 : x
2. Step 2: Convert to fraction form
   1,500.82/2,249.84 = 768.78/x
3. Step 3: Cross multiply
   1,500.82x = 2,249.84 × 768.78
4. Step 4: Simplify right side
   1,500.82x = 1,729,632.00
5. Step 5: Solve for x
   x = 1,729,632.00/1,500.82
6. Step 6: Final answer
   x = 1,152.46