Finding the Fourth Proportional to 2,002.34, 2,762.75 and 1,162.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.34 : 2,762.75 = 1,162.55 : x
2. Step 2: Convert to fraction form
   2,002.34/2,762.75 = 1,162.55/x
3. Step 3: Cross multiply
   2,002.34x = 2,762.75 × 1,162.55
4. Step 4: Simplify right side
   2,002.34x = 3,211,836.11
5. Step 5: Solve for x
   x = 3,211,836.11/2,002.34
6. Step 6: Final answer
   x = 1,604.05