Finding the Fourth Proportional to 2,005.38, 3,006.18 and 705.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.38 : 3,006.18 = 705.96 : x
2. Step 2: Convert to fraction form
   2,005.38/3,006.18 = 705.96/x
3. Step 3: Cross multiply
   2,005.38x = 3,006.18 × 705.96
4. Step 4: Simplify right side
   2,005.38x = 2,122,242.83
5. Step 5: Solve for x
   x = 2,122,242.83/2,005.38
6. Step 6: Final answer
   x = 1,058.27