Finding the Fourth Proportional to 1,097.34, 1,514.21 and 618.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.34 : 1,514.21 = 618.71 : x
2. Step 2: Convert to fraction form
   1,097.34/1,514.21 = 618.71/x
3. Step 3: Cross multiply
   1,097.34x = 1,514.21 × 618.71
4. Step 4: Simplify right side
   1,097.34x = 936,846.20
5. Step 5: Solve for x
   x = 936,846.20/1,097.34
6. Step 6: Final answer
   x = 853.74