Finding the Fourth Proportional to 2,007.66, 2,769.76 and 1,222.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,007.66 : 2,769.76 = 1,222.16 : x
2. Step 2: Convert to fraction form
   2,007.66/2,769.76 = 1,222.16/x
3. Step 3: Cross multiply
   2,007.66x = 2,769.76 × 1,222.16
4. Step 4: Simplify right side
   2,007.66x = 3,385,089.88
5. Step 5: Solve for x
   x = 3,385,089.88/2,007.66
6. Step 6: Final answer
   x = 1,686.09