Finding the Fourth Proportional to 2,005.62, 2,768.06 and 1,166.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.62 : 2,768.06 = 1,166.32 : x
2. Step 2: Convert to fraction form
   2,005.62/2,768.06 = 1,166.32/x
3. Step 3: Cross multiply
   2,005.62x = 2,768.06 × 1,166.32
4. Step 4: Simplify right side
   2,005.62x = 3,228,443.74
5. Step 5: Solve for x
   x = 3,228,443.74/2,005.62
6. Step 6: Final answer
   x = 1,609.70