Finding the Fourth Proportional to 1,498.69, 2,249.40 and 768.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,498.69 : 2,249.40 = 768.79 : x
2. Step 2: Convert to fraction form
   1,498.69/2,249.40 = 768.79/x
3. Step 3: Cross multiply
   1,498.69x = 2,249.40 × 768.79
4. Step 4: Simplify right side
   1,498.69x = 1,729,316.23
5. Step 5: Solve for x
   x = 1,729,316.23/1,498.69
6. Step 6: Final answer
   x = 1,153.89