Finding the Fourth Proportional to 2,641.23, 3,645.01 and 1,462.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.23 : 3,645.01 = 1,462.30 : x
2. Step 2: Convert to fraction form
   2,641.23/3,645.01 = 1,462.30/x
3. Step 3: Cross multiply
   2,641.23x = 3,645.01 × 1,462.30
4. Step 4: Simplify right side
   2,641.23x = 5,330,072.59
5. Step 5: Solve for x
   x = 5,330,072.59/2,641.23
6. Step 6: Final answer
   x = 2,018.03