Finding the Fourth Proportional to 2,566.61, 3,850.31 and 1,106.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.61 : 3,850.31 = 1,106.18 : x
2. Step 2: Convert to fraction form
   2,566.61/3,850.31 = 1,106.18/x
3. Step 3: Cross multiply
   2,566.61x = 3,850.31 × 1,106.18
4. Step 4: Simplify right side
   2,566.61x = 4,259,119.43
5. Step 5: Solve for x
   x = 4,259,119.43/2,566.61
6. Step 6: Final answer
   x = 1,659.44