Finding the Fourth Proportional to 3,657.72, 5,047.74 and 2,085.96

Step by Step Solution

1. Step 1: Write the proportion equation
   3,657.72 : 5,047.74 = 2,085.96 : x
2. Step 2: Convert to fraction form
   3,657.72/5,047.74 = 2,085.96/x
3. Step 3: Cross multiply
   3,657.72x = 5,047.74 × 2,085.96
4. Step 4: Simplify right side
   3,657.72x = 10,529,383.73
5. Step 5: Solve for x
   x = 10,529,383.73/3,657.72
6. Step 6: Final answer
   x = 2,878.67