Finding the Fourth Proportional to 2,002.16, 2,762.52 and 1,162.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.16 : 2,762.52 = 1,162.64 : x
2. Step 2: Convert to fraction form
   2,002.16/2,762.52 = 1,162.64/x
3. Step 3: Cross multiply
   2,002.16x = 2,762.52 × 1,162.64
4. Step 4: Simplify right side
   2,002.16x = 3,211,816.25
5. Step 5: Solve for x
   x = 3,211,816.25/2,002.16
6. Step 6: Final answer
   x = 1,604.18