Finding the Fourth Proportional to 2,645.38, 3,650.66 and 1,466.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,645.38 : 3,650.66 = 1,466.47 : x
2. Step 2: Convert to fraction form
   2,645.38/3,650.66 = 1,466.47/x
3. Step 3: Cross multiply
   2,645.38x = 3,650.66 × 1,466.47
4. Step 4: Simplify right side
   2,645.38x = 5,353,583.37
5. Step 5: Solve for x
   x = 5,353,583.37/2,645.38
6. Step 6: Final answer
   x = 2,023.75