Finding the Fourth Proportional to 2,043.50, 3,082.42 and 1,977.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,043.50 : 3,082.42 = 1,977.89 : x
2. Step 2: Convert to fraction form
   2,043.50/3,082.42 = 1,977.89/x
3. Step 3: Cross multiply
   2,043.50x = 3,082.42 × 1,977.89
4. Step 4: Simplify right side
   2,043.50x = 6,096,674.75
5. Step 5: Solve for x
   x = 6,096,674.75/2,043.50
6. Step 6: Final answer
   x = 2,983.45