Finding the Fourth Proportional to 3,894.72, 5,839.63 and 2,577.05

Step by Step Solution

1. Step 1: Write the proportion equation
   3,894.72 : 5,839.63 = 2,577.05 : x
2. Step 2: Convert to fraction form
   3,894.72/5,839.63 = 2,577.05/x
3. Step 3: Cross multiply
   3,894.72x = 5,839.63 × 2,577.05
4. Step 4: Simplify right side
   3,894.72x = 15,049,004.75
5. Step 5: Solve for x
   x = 15,049,004.75/3,894.72
6. Step 6: Final answer
   x = 3,863.95