Finding the Fourth Proportional to 2,003.20, 3,005.12 and 1,029

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.20 : 3,005.12 = 1,029 : x
2. Step 2: Convert to fraction form
   2,003.20/3,005.12 = 1,029/x
3. Step 3: Cross multiply
   2,003.20x = 3,005.12 × 1,029
4. Step 4: Simplify right side
   2,003.20x = 3,092,268.48
5. Step 5: Solve for x
   x = 3,092,268.48/2,003.20
6. Step 6: Final answer
   x = 1,543.66