Finding the Fourth Proportional to 2,003.74, 3,005.42 and 705.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.74 : 3,005.42 = 705.13 : x
2. Step 2: Convert to fraction form
   2,003.74/3,005.42 = 705.13/x
3. Step 3: Cross multiply
   2,003.74x = 3,005.42 × 705.13
4. Step 4: Simplify right side
   2,003.74x = 2,119,200.77
5. Step 5: Solve for x
   x = 2,119,200.77/2,003.74
6. Step 6: Final answer
   x = 1,057.62