Finding the Fourth Proportional to 2,641.40, 3,645.16 and 1,462.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.40 : 3,645.16 = 1,462.58 : x
2. Step 2: Convert to fraction form
   2,641.40/3,645.16 = 1,462.58/x
3. Step 3: Cross multiply
   2,641.40x = 3,645.16 × 1,462.58
4. Step 4: Simplify right side
   2,641.40x = 5,331,319.89
5. Step 5: Solve for x
   x = 5,331,319.89/2,641.40
6. Step 6: Final answer
   x = 2,018.37