Finding the Fourth Proportional to 3,656.50, 5,046.29 and 2,085.10

Step by Step Solution

1. Step 1: Write the proportion equation
   3,656.50 : 5,046.29 = 2,085.10 : x
2. Step 2: Convert to fraction form
   3,656.50/5,046.29 = 2,085.10/x
3. Step 3: Cross multiply
   3,656.50x = 5,046.29 × 2,085.10
4. Step 4: Simplify right side
   3,656.50x = 10,522,019.28
5. Step 5: Solve for x
   x = 10,522,019.28/3,656.50
6. Step 6: Final answer
   x = 2,877.62