Finding the Fourth Proportional to 3,656.89, 5,046.51 and 2,085.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,656.89 : 5,046.51 = 2,085.88 : x
2. Step 2: Convert to fraction form
   3,656.89/5,046.51 = 2,085.88/x
3. Step 3: Cross multiply
   3,656.89x = 5,046.51 × 2,085.88
4. Step 4: Simplify right side
   3,656.89x = 10,526,414.28
5. Step 5: Solve for x
   x = 10,526,414.28/3,656.89
6. Step 6: Final answer
   x = 2,878.52