Finding the Fourth Proportional to 3,577.87, 4,937.46 and 2,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,577.87 : 4,937.46 = 2,085.50 : x
2. Step 2: Convert to fraction form
   3,577.87/4,937.46 = 2,085.50/x
3. Step 3: Cross multiply
   3,577.87x = 4,937.46 × 2,085.50
4. Step 4: Simplify right side
   3,577.87x = 10,297,049.58
5. Step 5: Solve for x
   x = 10,297,049.58/3,577.87
6. Step 6: Final answer
   x = 2,877.98