Finding the Fourth Proportional to 2,150.80, 2,967.60 and 1,266.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,150.80 : 2,967.60 = 1,266.64 : x
2. Step 2: Convert to fraction form
   2,150.80/2,967.60 = 1,266.64/x
3. Step 3: Cross multiply
   2,150.80x = 2,967.60 × 1,266.64
4. Step 4: Simplify right side
   2,150.80x = 3,758,880.86
5. Step 5: Solve for x
   x = 3,758,880.86/2,150.80
6. Step 6: Final answer
   x = 1,747.67