Finding the Fourth Proportional to 3,686.16, 5,086.95 and 2,114.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,686.16 : 5,086.95 = 2,114.25 : x
2. Step 2: Convert to fraction form
   3,686.16/5,086.95 = 2,114.25/x
3. Step 3: Cross multiply
   3,686.16x = 5,086.95 × 2,114.25
4. Step 4: Simplify right side
   3,686.16x = 10,755,084.04
5. Step 5: Solve for x
   x = 10,755,084.04/3,686.16
6. Step 6: Final answer
   x = 2,917.69