Finding the Fourth Proportional to 1,097.62, 1,514.85 and 677.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.62 : 1,514.85 = 677.86 : x
2. Step 2: Convert to fraction form
   1,097.62/1,514.85 = 677.86/x
3. Step 3: Cross multiply
   1,097.62x = 1,514.85 × 677.86
4. Step 4: Simplify right side
   1,097.62x = 1,026,856.22
5. Step 5: Solve for x
   x = 1,026,856.22/1,097.62
6. Step 6: Final answer
   x = 935.53