Finding the Fourth Proportional to 2,645.81, 3,648.69 and 1,583.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,645.81 : 3,648.69 = 1,583.40 : x
2. Step 2: Convert to fraction form
   2,645.81/3,648.69 = 1,583.40/x
3. Step 3: Cross multiply
   2,645.81x = 3,648.69 × 1,583.40
4. Step 4: Simplify right side
   2,645.81x = 5,777,335.75
5. Step 5: Solve for x
   x = 5,777,335.75/2,645.81
6. Step 6: Final answer
   x = 2,183.58