Finding the Fourth Proportional to 2,641.59, 3,645.54 and 1,462.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.59 : 3,645.54 = 1,462.64 : x
2. Step 2: Convert to fraction form
   2,641.59/3,645.54 = 1,462.64/x
3. Step 3: Cross multiply
   2,641.59x = 3,645.54 × 1,462.64
4. Step 4: Simplify right side
   2,641.59x = 5,332,094.40
5. Step 5: Solve for x
   x = 5,332,094.40/2,641.59
6. Step 6: Final answer
   x = 2,018.52