Finding the Fourth Proportional to 3,656.57, 5,046.17 and 2,084.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,656.57 : 5,046.17 = 2,084.63 : x
2. Step 2: Convert to fraction form
   3,656.57/5,046.17 = 2,084.63/x
3. Step 3: Cross multiply
   3,656.57x = 5,046.17 × 2,084.63
4. Step 4: Simplify right side
   3,656.57x = 10,519,361.71
5. Step 5: Solve for x
   x = 10,519,361.71/3,656.57
6. Step 6: Final answer
   x = 2,876.84