Finding the Fourth Proportional to 3,657.37, 5,047.50 and 2,085.97

Step by Step Solution

1. Step 1: Write the proportion equation
   3,657.37 : 5,047.50 = 2,085.97 : x
2. Step 2: Convert to fraction form
   3,657.37/5,047.50 = 2,085.97/x
3. Step 3: Cross multiply
   3,657.37x = 5,047.50 × 2,085.97
4. Step 4: Simplify right side
   3,657.37x = 10,528,933.58
5. Step 5: Solve for x
   x = 10,528,933.58/3,657.37
6. Step 6: Final answer
   x = 2,878.83