Finding the Fourth Proportional to 2,641.28, 3,644.96 and 1,462.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.28 : 3,644.96 = 1,462.32 : x
2. Step 2: Convert to fraction form
   2,641.28/3,644.96 = 1,462.32/x
3. Step 3: Cross multiply
   2,641.28x = 3,644.96 × 1,462.32
4. Step 4: Simplify right side
   2,641.28x = 5,330,097.91
5. Step 5: Solve for x
   x = 5,330,097.91/2,641.28
6. Step 6: Final answer
   x = 2,018.00