Finding the Fourth Proportional to 2,566.60, 3,540.96 and 1,682.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.60 : 3,540.96 = 1,682.89 : x
2. Step 2: Convert to fraction form
   2,566.60/3,540.96 = 1,682.89/x
3. Step 3: Cross multiply
   2,566.60x = 3,540.96 × 1,682.89
4. Step 4: Simplify right side
   2,566.60x = 5,959,046.17
5. Step 5: Solve for x
   x = 5,959,046.17/2,566.60
6. Step 6: Final answer
   x = 2,321.77