Finding the Fourth Proportional to 2,584.37, 3,876.71 and 941.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.37 : 3,876.71 = 941.09 : x
2. Step 2: Convert to fraction form
   2,584.37/3,876.71 = 941.09/x
3. Step 3: Cross multiply
   2,584.37x = 3,876.71 × 941.09
4. Step 4: Simplify right side
   2,584.37x = 3,648,328.31
5. Step 5: Solve for x
   x = 3,648,328.31/2,584.37
6. Step 6: Final answer
   x = 1,411.69