Finding the Fourth Proportional to 2,002.23, 2,762.47 and 1,162.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.23 : 2,762.47 = 1,162.77 : x
2. Step 2: Convert to fraction form
   2,002.23/2,762.47 = 1,162.77/x
3. Step 3: Cross multiply
   2,002.23x = 2,762.47 × 1,162.77
4. Step 4: Simplify right side
   2,002.23x = 3,212,107.57
5. Step 5: Solve for x
   x = 3,212,107.57/2,002.23
6. Step 6: Final answer
   x = 1,604.27