Finding the Fourth Proportional to 3,656.82, 5,046.42 and 2,084.94

Step by Step Solution

1. Step 1: Write the proportion equation
   3,656.82 : 5,046.42 = 2,084.94 : x
2. Step 2: Convert to fraction form
   3,656.82/5,046.42 = 2,084.94/x
3. Step 3: Cross multiply
   3,656.82x = 5,046.42 × 2,084.94
4. Step 4: Simplify right side
   3,656.82x = 10,521,482.91
5. Step 5: Solve for x
   x = 10,521,482.91/3,656.82
6. Step 6: Final answer
   x = 2,877.22