Finding the Fourth Proportional to 3,656.47, 5,046.56 and 2,084.53

Step by Step Solution

1. Step 1: Write the proportion equation
   3,656.47 : 5,046.56 = 2,084.53 : x
2. Step 2: Convert to fraction form
   3,656.47/5,046.56 = 2,084.53/x
3. Step 3: Cross multiply
   3,656.47x = 5,046.56 × 2,084.53
4. Step 4: Simplify right side
   3,656.47x = 10,519,705.72
5. Step 5: Solve for x
   x = 10,519,705.72/3,656.47
6. Step 6: Final answer
   x = 2,877.01