Finding the Fourth Proportional to 2,648.09, 3,655.59 and 1,586.36

Step by Step Solution

1. Step 1: Write the proportion equation
   2,648.09 : 3,655.59 = 1,586.36 : x
2. Step 2: Convert to fraction form
   2,648.09/3,655.59 = 1,586.36/x
3. Step 3: Cross multiply
   2,648.09x = 3,655.59 × 1,586.36
4. Step 4: Simplify right side
   2,648.09x = 5,799,081.75
5. Step 5: Solve for x
   x = 5,799,081.75/2,648.09
6. Step 6: Final answer
   x = 2,189.91