Finding the Fourth Proportional to 3,656.72, 5,046.90 and 2,084.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,656.72 : 5,046.90 = 2,084.78 : x
2. Step 2: Convert to fraction form
   3,656.72/5,046.90 = 2,084.78/x
3. Step 3: Cross multiply
   3,656.72x = 5,046.90 × 2,084.78
4. Step 4: Simplify right side
   3,656.72x = 10,521,676.18
5. Step 5: Solve for x
   x = 10,521,676.18/3,656.72
6. Step 6: Final answer
   x = 2,877.35