Finding the Fourth Proportional to 2,641.48, 3,645.28 and 1,462.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.48 : 3,645.28 = 1,462.55 : x
2. Step 2: Convert to fraction form
   2,641.48/3,645.28 = 1,462.55/x
3. Step 3: Cross multiply
   2,641.48x = 3,645.28 × 1,462.55
4. Step 4: Simplify right side
   2,641.48x = 5,331,382.38
5. Step 5: Solve for x
   x = 5,331,382.38/2,641.48
6. Step 6: Final answer
   x = 2,018.33