Finding the Fourth Proportional to 2,505.88, 3,757.53 and 1,466.11

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.88 : 3,757.53 = 1,466.11 : x
2. Step 2: Convert to fraction form
   2,505.88/3,757.53 = 1,466.11/x
3. Step 3: Cross multiply
   2,505.88x = 3,757.53 × 1,466.11
4. Step 4: Simplify right side
   2,505.88x = 5,508,952.31
5. Step 5: Solve for x
   x = 5,508,952.31/2,505.88
6. Step 6: Final answer
   x = 2,198.41