Finding the Fourth Proportional to 2,003.76, 3,005.46 and 705.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.76 : 3,005.46 = 705.24 : x
2. Step 2: Convert to fraction form
   2,003.76/3,005.46 = 705.24/x
3. Step 3: Cross multiply
   2,003.76x = 3,005.46 × 705.24
4. Step 4: Simplify right side
   2,003.76x = 2,119,570.61
5. Step 5: Solve for x
   x = 2,119,570.61/2,003.76
6. Step 6: Final answer
   x = 1,057.80