Finding the Fourth Proportional to 2,641.42, 3,645.02 and 1,462.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.42 : 3,645.02 = 1,462.57 : x
2. Step 2: Convert to fraction form
   2,641.42/3,645.02 = 1,462.57/x
3. Step 3: Cross multiply
   2,641.42x = 3,645.02 × 1,462.57
4. Step 4: Simplify right side
   2,641.42x = 5,331,091.45
5. Step 5: Solve for x
   x = 5,331,091.45/2,641.42
6. Step 6: Final answer
   x = 2,018.27