Finding the Fourth Proportional to 2,597.60, 3,868.84 and 2,585.04

Step by Step Solution

1. Step 1: Write the proportion equation
   2,597.60 : 3,868.84 = 2,585.04 : x
2. Step 2: Convert to fraction form
   2,597.60/3,868.84 = 2,585.04/x
3. Step 3: Cross multiply
   2,597.60x = 3,868.84 × 2,585.04
4. Step 4: Simplify right side
   2,597.60x = 10,001,106.15
5. Step 5: Solve for x
   x = 10,001,106.15/2,597.60
6. Step 6: Final answer
   x = 3,850.13