Finding the Fourth Proportional to 1,105.75, 1,654.37 and 1,097.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.75 : 1,654.37 = 1,097.85 : x
2. Step 2: Convert to fraction form
   1,105.75/1,654.37 = 1,097.85/x
3. Step 3: Cross multiply
   1,105.75x = 1,654.37 × 1,097.85
4. Step 4: Simplify right side
   1,105.75x = 1,816,250.10
5. Step 5: Solve for x
   x = 1,816,250.10/1,105.75
6. Step 6: Final answer
   x = 1,642.55