Finding the Fourth Proportional to 3,683.64, 5,082.87 and 2,111.46

Step by Step Solution

1. Step 1: Write the proportion equation
   3,683.64 : 5,082.87 = 2,111.46 : x
2. Step 2: Convert to fraction form
   3,683.64/5,082.87 = 2,111.46/x
3. Step 3: Cross multiply
   3,683.64x = 5,082.87 × 2,111.46
4. Step 4: Simplify right side
   3,683.64x = 10,732,276.69
5. Step 5: Solve for x
   x = 10,732,276.69/3,683.64
6. Step 6: Final answer
   x = 2,913.50