Finding the Fourth Proportional to 1,499.78, 2,248.29 and 767.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,499.78 : 2,248.29 = 767.75 : x
2. Step 2: Convert to fraction form
   1,499.78/2,248.29 = 767.75/x
3. Step 3: Cross multiply
   1,499.78x = 2,248.29 × 767.75
4. Step 4: Simplify right side
   1,499.78x = 1,726,113.41
5. Step 5: Solve for x
   x = 1,726,113.41/1,499.78
6. Step 6: Final answer
   x = 1,150.91