Finding the Fourth Proportional to 1,097.74, 1,514.32 and 704.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.74 : 1,514.32 = 704.35 : x
2. Step 2: Convert to fraction form
   1,097.74/1,514.32 = 704.35/x
3. Step 3: Cross multiply
   1,097.74x = 1,514.32 × 704.35
4. Step 4: Simplify right side
   1,097.74x = 1,066,611.29
5. Step 5: Solve for x
   x = 1,066,611.29/1,097.74
6. Step 6: Final answer
   x = 971.64