Finding the Fourth Proportional to 2,005.98, 3,011.13 and 852.54

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.98 : 3,011.13 = 852.54 : x
2. Step 2: Convert to fraction form
   2,005.98/3,011.13 = 852.54/x
3. Step 3: Cross multiply
   2,005.98x = 3,011.13 × 852.54
4. Step 4: Simplify right side
   2,005.98x = 2,567,108.77
5. Step 5: Solve for x
   x = 2,567,108.77/2,005.98
6. Step 6: Final answer
   x = 1,279.73