Finding the Fourth Proportional to 2,641.56, 3,645.32 and 1,462.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.56 : 3,645.32 = 1,462.62 : x
2. Step 2: Convert to fraction form
   2,641.56/3,645.32 = 1,462.62/x
3. Step 3: Cross multiply
   2,641.56x = 3,645.32 × 1,462.62
4. Step 4: Simplify right side
   2,641.56x = 5,331,717.94
5. Step 5: Solve for x
   x = 5,331,717.94/2,641.56
6. Step 6: Final answer
   x = 2,018.40