Finding the Fourth Proportional to 2,123.82, 3,186.81 and 1,097.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.82 : 3,186.81 = 1,097.82 : x
2. Step 2: Convert to fraction form
   2,123.82/3,186.81 = 1,097.82/x
3. Step 3: Cross multiply
   2,123.82x = 3,186.81 × 1,097.82
4. Step 4: Simplify right side
   2,123.82x = 3,498,543.75
5. Step 5: Solve for x
   x = 3,498,543.75/2,123.82
6. Step 6: Final answer
   x = 1,647.29