Finding the Fourth Proportional to 2,006.56, 3,005.74 and 1,182.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,006.56 : 3,005.74 = 1,182.34 : x
2. Step 2: Convert to fraction form
   2,006.56/3,005.74 = 1,182.34/x
3. Step 3: Cross multiply
   2,006.56x = 3,005.74 × 1,182.34
4. Step 4: Simplify right side
   2,006.56x = 3,553,806.63
5. Step 5: Solve for x
   x = 3,553,806.63/2,006.56
6. Step 6: Final answer
   x = 1,771.09