Finding the Fourth Proportional to 3,656.80, 5,046.24 and 2,084.59

Step by Step Solution

1. Step 1: Write the proportion equation
   3,656.80 : 5,046.24 = 2,084.59 : x
2. Step 2: Convert to fraction form
   3,656.80/5,046.24 = 2,084.59/x
3. Step 3: Cross multiply
   3,656.80x = 5,046.24 × 2,084.59
4. Step 4: Simplify right side
   3,656.80x = 10,519,316.21
5. Step 5: Solve for x
   x = 10,519,316.21/3,656.80
6. Step 6: Final answer
   x = 2,876.65