Finding the Fourth Proportional to 2,123.72, 3,186.30 and 1,097

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.72 : 3,186.30 = 1,097 : x
2. Step 2: Convert to fraction form
   2,123.72/3,186.30 = 1,097/x
3. Step 3: Cross multiply
   2,123.72x = 3,186.30 × 1,097
4. Step 4: Simplify right side
   2,123.72x = 3,495,371.10
5. Step 5: Solve for x
   x = 3,495,371.10/2,123.72
6. Step 6: Final answer
   x = 1,645.87