Finding the Fourth Proportional to 3,895.86, 5,852.61 and 2,256.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,895.86 : 5,852.61 = 2,256.42 : x
2. Step 2: Convert to fraction form
   3,895.86/5,852.61 = 2,256.42/x
3. Step 3: Cross multiply
   3,895.86x = 5,852.61 × 2,256.42
4. Step 4: Simplify right side
   3,895.86x = 13,205,946.26
5. Step 5: Solve for x
   x = 13,205,946.26/3,895.86
6. Step 6: Final answer
   x = 3,389.74