Finding the Fourth Proportional to 3,705.89, 5,105.34 and 2,584.79

Step by Step Solution

1. Step 1: Write the proportion equation
   3,705.89 : 5,105.34 = 2,584.79 : x
2. Step 2: Convert to fraction form
   3,705.89/5,105.34 = 2,584.79/x
3. Step 3: Cross multiply
   3,705.89x = 5,105.34 × 2,584.79
4. Step 4: Simplify right side
   3,705.89x = 13,196,231.78
5. Step 5: Solve for x
   x = 13,196,231.78/3,705.89
6. Step 6: Final answer
   x = 3,560.88