Finding the Fourth Proportional to 2,454.57, 3,664.71 and 2,084.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,454.57 : 3,664.71 = 2,084.13 : x
2. Step 2: Convert to fraction form
   2,454.57/3,664.71 = 2,084.13/x
3. Step 3: Cross multiply
   2,454.57x = 3,664.71 × 2,084.13
4. Step 4: Simplify right side
   2,454.57x = 7,637,732.05
5. Step 5: Solve for x
   x = 7,637,732.05/2,454.57
6. Step 6: Final answer
   x = 3,111.64