Finding the Fourth Proportional to 3,684.07, 5,084.13 and 2,111.86

Step by Step Solution

1. Step 1: Write the proportion equation
   3,684.07 : 5,084.13 = 2,111.86 : x
2. Step 2: Convert to fraction form
   3,684.07/5,084.13 = 2,111.86/x
3. Step 3: Cross multiply
   3,684.07x = 5,084.13 × 2,111.86
4. Step 4: Simplify right side
   3,684.07x = 10,736,970.78
5. Step 5: Solve for x
   x = 10,736,970.78/3,684.07
6. Step 6: Final answer
   x = 2,914.43