Finding the Fourth Proportional to 2,601.84, 3,880.56 and 2,558.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,601.84 : 3,880.56 = 2,558.16 : x
2. Step 2: Convert to fraction form
   2,601.84/3,880.56 = 2,558.16/x
3. Step 3: Cross multiply
   2,601.84x = 3,880.56 × 2,558.16
4. Step 4: Simplify right side
   2,601.84x = 9,927,093.37
5. Step 5: Solve for x
   x = 9,927,093.37/2,601.84
6. Step 6: Final answer
   x = 3,815.41