Finding the Fourth Proportional to 2,641.42, 3,645.15 and 1,462.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.42 : 3,645.15 = 1,462.49 : x
2. Step 2: Convert to fraction form
   2,641.42/3,645.15 = 1,462.49/x
3. Step 3: Cross multiply
   2,641.42x = 3,645.15 × 1,462.49
4. Step 4: Simplify right side
   2,641.42x = 5,330,995.42
5. Step 5: Solve for x
   x = 5,330,995.42/2,641.42
6. Step 6: Final answer
   x = 2,018.23