Finding the Fourth Proportional to 3,688.38, 5,089.77 and 2,116.17

Step by Step Solution

1. Step 1: Write the proportion equation
   3,688.38 : 5,089.77 = 2,116.17 : x
2. Step 2: Convert to fraction form
   3,688.38/5,089.77 = 2,116.17/x
3. Step 3: Cross multiply
   3,688.38x = 5,089.77 × 2,116.17
4. Step 4: Simplify right side
   3,688.38x = 10,770,818.58
5. Step 5: Solve for x
   x = 10,770,818.58/3,688.38
6. Step 6: Final answer
   x = 2,920.20