Finding the Fourth Proportional to 1,097.64, 1,514.73 and 631.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.64 : 1,514.73 = 631.89 : x
2. Step 2: Convert to fraction form
   1,097.64/1,514.73 = 631.89/x
3. Step 3: Cross multiply
   1,097.64x = 1,514.73 × 631.89
4. Step 4: Simplify right side
   1,097.64x = 957,142.74
5. Step 5: Solve for x
   x = 957,142.74/1,097.64
6. Step 6: Final answer
   x = 872.00