Finding the Fourth Proportional to 2,566.26, 3,851.55 and 1,106.51

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.26 : 3,851.55 = 1,106.51 : x
2. Step 2: Convert to fraction form
   2,566.26/3,851.55 = 1,106.51/x
3. Step 3: Cross multiply
   2,566.26x = 3,851.55 × 1,106.51
4. Step 4: Simplify right side
   2,566.26x = 4,261,759.33
5. Step 5: Solve for x
   x = 4,261,759.33/2,566.26
6. Step 6: Final answer
   x = 1,660.69