Finding the Fourth Proportional to 3,684.69, 5,084.75 and 2,091.47

Step by Step Solution

1. Step 1: Write the proportion equation
   3,684.69 : 5,084.75 = 2,091.47 : x
2. Step 2: Convert to fraction form
   3,684.69/5,084.75 = 2,091.47/x
3. Step 3: Cross multiply
   3,684.69x = 5,084.75 × 2,091.47
4. Step 4: Simplify right side
   3,684.69x = 10,634,581.89
5. Step 5: Solve for x
   x = 10,634,581.89/3,684.69
6. Step 6: Final answer
   x = 2,886.15