Finding the Fourth Proportional to 2,641.82, 3,645.66 and 1,462.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.82 : 3,645.66 = 1,462.88 : x
2. Step 2: Convert to fraction form
   2,641.82/3,645.66 = 1,462.88/x
3. Step 3: Cross multiply
   2,641.82x = 3,645.66 × 1,462.88
4. Step 4: Simplify right side
   2,641.82x = 5,333,163.10
5. Step 5: Solve for x
   x = 5,333,163.10/2,641.82
6. Step 6: Final answer
   x = 2,018.75