Finding the Fourth Proportional to 3,577.50, 4,936.82 and 2,085.39

Step by Step Solution

1. Step 1: Write the proportion equation
   3,577.50 : 4,936.82 = 2,085.39 : x
2. Step 2: Convert to fraction form
   3,577.50/4,936.82 = 2,085.39/x
3. Step 3: Cross multiply
   3,577.50x = 4,936.82 × 2,085.39
4. Step 4: Simplify right side
   3,577.50x = 10,295,184.63
5. Step 5: Solve for x
   x = 10,295,184.63/3,577.50
6. Step 6: Final answer
   x = 2,877.76