Finding the Fourth Proportional to 2,002.56, 2,762.76 and 1,216.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.56 : 2,762.76 = 1,216.32 : x
2. Step 2: Convert to fraction form
   2,002.56/2,762.76 = 1,216.32/x
3. Step 3: Cross multiply
   2,002.56x = 2,762.76 × 1,216.32
4. Step 4: Simplify right side
   2,002.56x = 3,360,400.24
5. Step 5: Solve for x
   x = 3,360,400.24/2,002.56
6. Step 6: Final answer
   x = 1,678.05