Finding the Fourth Proportional to 2,639.75, 3,642.86 and 1,461

Step by Step Solution

1. Step 1: Write the proportion equation
   2,639.75 : 3,642.86 = 1,461 : x
2. Step 2: Convert to fraction form
   2,639.75/3,642.86 = 1,461/x
3. Step 3: Cross multiply
   2,639.75x = 3,642.86 × 1,461
4. Step 4: Simplify right side
   2,639.75x = 5,322,211.16
5. Step 5: Solve for x
   x = 5,322,211.16/2,639.75
6. Step 6: Final answer
   x = 2,016.18