Finding the Fourth Proportional to 2,134.46, 3,196.53 and 1,766.54

Step by Step Solution

1. Step 1: Write the proportion equation
   2,134.46 : 3,196.53 = 1,766.54 : x
2. Step 2: Convert to fraction form
   2,134.46/3,196.53 = 1,766.54/x
3. Step 3: Cross multiply
   2,134.46x = 3,196.53 × 1,766.54
4. Step 4: Simplify right side
   2,134.46x = 5,646,798.11
5. Step 5: Solve for x
   x = 5,646,798.11/2,134.46
6. Step 6: Final answer
   x = 2,645.54