Finding the Fourth Proportional to 3,577.71, 4,936.77 and 2,085.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,577.71 : 4,936.77 = 2,085.42 : x
2. Step 2: Convert to fraction form
   3,577.71/4,936.77 = 2,085.42/x
3. Step 3: Cross multiply
   3,577.71x = 4,936.77 × 2,085.42
4. Step 4: Simplify right side
   3,577.71x = 10,295,238.89
5. Step 5: Solve for x
   x = 10,295,238.89/3,577.71
6. Step 6: Final answer
   x = 2,877.61