Finding the Fourth Proportional to 1,097.57, 1,644.72 and 1,016.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.57 : 1,644.72 = 1,016.57 : x
2. Step 2: Convert to fraction form
   1,097.57/1,644.72 = 1,016.57/x
3. Step 3: Cross multiply
   1,097.57x = 1,644.72 × 1,016.57
4. Step 4: Simplify right side
   1,097.57x = 1,671,967.93
5. Step 5: Solve for x
   x = 1,671,967.93/1,097.57
6. Step 6: Final answer
   x = 1,523.34