Finding the Fourth Proportional to 2,641.54, 3,645.24 and 1,462.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.54 : 3,645.24 = 1,462.60 : x
2. Step 2: Convert to fraction form
   2,641.54/3,645.24 = 1,462.60/x
3. Step 3: Cross multiply
   2,641.54x = 3,645.24 × 1,462.60
4. Step 4: Simplify right side
   2,641.54x = 5,331,528.02
5. Step 5: Solve for x
   x = 5,331,528.02/2,641.54
6. Step 6: Final answer
   x = 2,018.34