Finding the Fourth Proportional to 3,657.69, 5,047.72 and 2,085.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,657.69 : 5,047.72 = 2,085.75 : x
2. Step 2: Convert to fraction form
   3,657.69/5,047.72 = 2,085.75/x
3. Step 3: Cross multiply
   3,657.69x = 5,047.72 × 2,085.75
4. Step 4: Simplify right side
   3,657.69x = 10,528,276.78
5. Step 5: Solve for x
   x = 10,528,276.78/3,657.69
6. Step 6: Final answer
   x = 2,878.40