Finding the Fourth Proportional to 2,641.38, 3,645.18 and 1,462.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.38 : 3,645.18 = 1,462.56 : x
2. Step 2: Convert to fraction form
   2,641.38/3,645.18 = 1,462.56/x
3. Step 3: Cross multiply
   2,641.38x = 3,645.18 × 1,462.56
4. Step 4: Simplify right side
   2,641.38x = 5,331,294.46
5. Step 5: Solve for x
   x = 5,331,294.46/2,641.38
6. Step 6: Final answer
   x = 2,018.37