Finding the Fourth Proportional to 1,498.78, 2,248.15 and 767.95

Step by Step Solution

1. Step 1: Write the proportion equation
   1,498.78 : 2,248.15 = 767.95 : x
2. Step 2: Convert to fraction form
   1,498.78/2,248.15 = 767.95/x
3. Step 3: Cross multiply
   1,498.78x = 2,248.15 × 767.95
4. Step 4: Simplify right side
   1,498.78x = 1,726,466.79
5. Step 5: Solve for x
   x = 1,726,466.79/1,498.78
6. Step 6: Final answer
   x = 1,151.91