Finding the Fourth Proportional to 3,940, 5,436.24 and 2,595.47

Step by Step Solution

1. Step 1: Write the proportion equation
   3,940 : 5,436.24 = 2,595.47 : x
2. Step 2: Convert to fraction form
   3,940/5,436.24 = 2,595.47/x
3. Step 3: Cross multiply
   3,940x = 5,436.24 × 2,595.47
4. Step 4: Simplify right side
   3,940x = 14,109,597.83
5. Step 5: Solve for x
   x = 14,109,597.83/3,940
6. Step 6: Final answer
   x = 3,581.12