Finding the Fourth Proportional to 2,006.96, 3,011.60 and 1,082.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,006.96 : 3,011.60 = 1,082.52 : x
2. Step 2: Convert to fraction form
   2,006.96/3,011.60 = 1,082.52/x
3. Step 3: Cross multiply
   2,006.96x = 3,011.60 × 1,082.52
4. Step 4: Simplify right side
   2,006.96x = 3,260,117.23
5. Step 5: Solve for x
   x = 3,260,117.23/2,006.96
6. Step 6: Final answer
   x = 1,624.41