Finding the Fourth Proportional to 2,604.16, 3,910.72 and 2,584

Step by Step Solution

1. Step 1: Write the proportion equation
   2,604.16 : 3,910.72 = 2,584 : x
2. Step 2: Convert to fraction form
   2,604.16/3,910.72 = 2,584/x
3. Step 3: Cross multiply
   2,604.16x = 3,910.72 × 2,584
4. Step 4: Simplify right side
   2,604.16x = 10,105,300.48
5. Step 5: Solve for x
   x = 10,105,300.48/2,604.16
6. Step 6: Final answer
   x = 3,880.45