Finding the Fourth Proportional to 2,595.20, 3,892.56 and 863.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,595.20 : 3,892.56 = 863.84 : x
2. Step 2: Convert to fraction form
   2,595.20/3,892.56 = 863.84/x
3. Step 3: Cross multiply
   2,595.20x = 3,892.56 × 863.84
4. Step 4: Simplify right side
   2,595.20x = 3,362,549.03
5. Step 5: Solve for x
   x = 3,362,549.03/2,595.20
6. Step 6: Final answer
   x = 1,295.68