Finding the Fourth Proportional to 1,665.12, 2,296.02 and 1,105.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.12 : 2,296.02 = 1,105.38 : x
2. Step 2: Convert to fraction form
   1,665.12/2,296.02 = 1,105.38/x
3. Step 3: Cross multiply
   1,665.12x = 2,296.02 × 1,105.38
4. Step 4: Simplify right side
   1,665.12x = 2,537,974.59
5. Step 5: Solve for x
   x = 2,537,974.59/1,665.12
6. Step 6: Final answer
   x = 1,524.20