Finding the Fourth Proportional to 2,205.77, 3,305.54 and 1,586.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,205.77 : 3,305.54 = 1,586.55 : x
2. Step 2: Convert to fraction form
   2,205.77/3,305.54 = 1,586.55/x
3. Step 3: Cross multiply
   2,205.77x = 3,305.54 × 1,586.55
4. Step 4: Simplify right side
   2,205.77x = 5,244,396.55
5. Step 5: Solve for x
   x = 5,244,396.55/2,205.77
6. Step 6: Final answer
   x = 2,377.59