Finding the Fourth Proportional to 2,178.23, 3,269.77 and 1,082.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,178.23 : 3,269.77 = 1,082.30 : x
2. Step 2: Convert to fraction form
   2,178.23/3,269.77 = 1,082.30/x
3. Step 3: Cross multiply
   2,178.23x = 3,269.77 × 1,082.30
4. Step 4: Simplify right side
   2,178.23x = 3,538,853.02
5. Step 5: Solve for x
   x = 3,538,853.02/2,178.23
6. Step 6: Final answer
   x = 1,624.65