Finding the Fourth Proportional to 2,165.74, 3,245.55 and 1,676.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,165.74 : 3,245.55 = 1,676.50 : x
2. Step 2: Convert to fraction form
   2,165.74/3,245.55 = 1,676.50/x
3. Step 3: Cross multiply
   2,165.74x = 3,245.55 × 1,676.50
4. Step 4: Simplify right side
   2,165.74x = 5,441,164.58
5. Step 5: Solve for x
   x = 5,441,164.58/2,165.74
6. Step 6: Final answer
   x = 2,512.38