Finding the Fourth Proportional to 2,600.34, 3,894.42 and 2,256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,600.34 : 3,894.42 = 2,256.50 : x
2. Step 2: Convert to fraction form
   2,600.34/3,894.42 = 2,256.50/x
3. Step 3: Cross multiply
   2,600.34x = 3,894.42 × 2,256.50
4. Step 4: Simplify right side
   2,600.34x = 8,787,758.73
5. Step 5: Solve for x
   x = 8,787,758.73/2,600.34
6. Step 6: Final answer
   x = 3,379.47