Finding the Fourth Proportional to 3,683.12, 5,082.96 and 2,111.60

Step by Step Solution

1. Step 1: Write the proportion equation
   3,683.12 : 5,082.96 = 2,111.60 : x
2. Step 2: Convert to fraction form
   3,683.12/5,082.96 = 2,111.60/x
3. Step 3: Cross multiply
   3,683.12x = 5,082.96 × 2,111.60
4. Step 4: Simplify right side
   3,683.12x = 10,733,178.34
5. Step 5: Solve for x
   x = 10,733,178.34/3,683.12
6. Step 6: Final answer
   x = 2,914.15