Finding the Fourth Proportional to 2,641.58, 3,645.49 and 1,462.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.58 : 3,645.49 = 1,462.65 : x
2. Step 2: Convert to fraction form
   2,641.58/3,645.49 = 1,462.65/x
3. Step 3: Cross multiply
   2,641.58x = 3,645.49 × 1,462.65
4. Step 4: Simplify right side
   2,641.58x = 5,332,061.36
5. Step 5: Solve for x
   x = 5,332,061.36/2,641.58
6. Step 6: Final answer
   x = 2,018.51