Finding the Fourth Proportional to 2,641.38, 3,645.16 and 1,446.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.38 : 3,645.16 = 1,446.42 : x
2. Step 2: Convert to fraction form
   2,641.38/3,645.16 = 1,446.42/x
3. Step 3: Cross multiply
   2,641.38x = 3,645.16 × 1,446.42
4. Step 4: Simplify right side
   2,641.38x = 5,272,420.47
5. Step 5: Solve for x
   x = 5,272,420.47/2,641.38
6. Step 6: Final answer
   x = 1,996.09