Finding the Fourth Proportional to 2,296, 3,442.56 and 1,645.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,296 : 3,442.56 = 1,645.12 : x
2. Step 2: Convert to fraction form
   2,296/3,442.56 = 1,645.12/x
3. Step 3: Cross multiply
   2,296x = 3,442.56 × 1,645.12
4. Step 4: Simplify right side
   2,296x = 5,663,424.31
5. Step 5: Solve for x
   x = 5,663,424.31/2,296
6. Step 6: Final answer
   x = 2,466.65