Finding the Fourth Proportional to 2,566.83, 3,849.49 and 1,105.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.83 : 3,849.49 = 1,105.64 : x
2. Step 2: Convert to fraction form
   2,566.83/3,849.49 = 1,105.64/x
3. Step 3: Cross multiply
   2,566.83x = 3,849.49 × 1,105.64
4. Step 4: Simplify right side
   2,566.83x = 4,256,156.98
5. Step 5: Solve for x
   x = 4,256,156.98/2,566.83
6. Step 6: Final answer
   x = 1,658.14