Finding the Fourth Proportional to 2,638.87, 3,641.64 and 1,460.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,638.87 : 3,641.64 = 1,460.12 : x
2. Step 2: Convert to fraction form
   2,638.87/3,641.64 = 1,460.12/x
3. Step 3: Cross multiply
   2,638.87x = 3,641.64 × 1,460.12
4. Step 4: Simplify right side
   2,638.87x = 5,317,209.54
5. Step 5: Solve for x
   x = 5,317,209.54/2,638.87
6. Step 6: Final answer
   x = 2,014.96