Finding the Fourth Proportional to 2,003.24, 2,764.55 and 1,163.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.24 : 2,764.55 = 1,163.77 : x
2. Step 2: Convert to fraction form
   2,003.24/2,764.55 = 1,163.77/x
3. Step 3: Cross multiply
   2,003.24x = 2,764.55 × 1,163.77
4. Step 4: Simplify right side
   2,003.24x = 3,217,300.35
5. Step 5: Solve for x
   x = 3,217,300.35/2,003.24
6. Step 6: Final answer
   x = 1,606.05