Finding the Fourth Proportional to 1,097.87, 1,514.61 and 677.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.87 : 1,514.61 = 677.78 : x
2. Step 2: Convert to fraction form
   1,097.87/1,514.61 = 677.78/x
3. Step 3: Cross multiply
   1,097.87x = 1,514.61 × 677.78
4. Step 4: Simplify right side
   1,097.87x = 1,026,573.56
5. Step 5: Solve for x
   x = 1,026,573.56/1,097.87
6. Step 6: Final answer
   x = 935.06