Finding the Fourth Proportional to 3,688.14, 5,089.32 and 2,116.20

Step by Step Solution

1. Step 1: Write the proportion equation
   3,688.14 : 5,089.32 = 2,116.20 : x
2. Step 2: Convert to fraction form
   3,688.14/5,089.32 = 2,116.20/x
3. Step 3: Cross multiply
   3,688.14x = 5,089.32 × 2,116.20
4. Step 4: Simplify right side
   3,688.14x = 10,770,018.98
5. Step 5: Solve for x
   x = 10,770,018.98/3,688.14
6. Step 6: Final answer
   x = 2,920.18