Finding the Fourth Proportional to 1,097.80, 1,514.82 and 678.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.80 : 1,514.82 = 678.16 : x
2. Step 2: Convert to fraction form
   1,097.80/1,514.82 = 678.16/x
3. Step 3: Cross multiply
   1,097.80x = 1,514.82 × 678.16
4. Step 4: Simplify right side
   1,097.80x = 1,027,290.33
5. Step 5: Solve for x
   x = 1,027,290.33/1,097.80
6. Step 6: Final answer
   x = 935.77