Finding the Fourth Proportional to 2,005.82, 2,768.10 and 1,121.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.82 : 2,768.10 = 1,121.62 : x
2. Step 2: Convert to fraction form
   2,005.82/2,768.10 = 1,121.62/x
3. Step 3: Cross multiply
   2,005.82x = 2,768.10 × 1,121.62
4. Step 4: Simplify right side
   2,005.82x = 3,104,756.32
5. Step 5: Solve for x
   x = 3,104,756.32/2,005.82
6. Step 6: Final answer
   x = 1,547.87