Finding the Fourth Proportional to 3,683.86, 5,084.16 and 2,111.95

Step by Step Solution

1. Step 1: Write the proportion equation
   3,683.86 : 5,084.16 = 2,111.95 : x
2. Step 2: Convert to fraction form
   3,683.86/5,084.16 = 2,111.95/x
3. Step 3: Cross multiply
   3,683.86x = 5,084.16 × 2,111.95
4. Step 4: Simplify right side
   3,683.86x = 10,737,466.29
5. Step 5: Solve for x
   x = 10,737,466.29/3,683.86
6. Step 6: Final answer
   x = 2,914.74