Finding the Fourth Proportional to 2,003.52, 3,005.46 and 771.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.52 : 3,005.46 = 771.24 : x
2. Step 2: Convert to fraction form
   2,003.52/3,005.46 = 771.24/x
3. Step 3: Cross multiply
   2,003.52x = 3,005.46 × 771.24
4. Step 4: Simplify right side
   2,003.52x = 2,317,930.97
5. Step 5: Solve for x
   x = 2,317,930.97/2,003.52
6. Step 6: Final answer
   x = 1,156.93