Finding the Fourth Proportional to 2,506.56, 3,757.78 and 1,464

Step by Step Solution

1. Step 1: Write the proportion equation
   2,506.56 : 3,757.78 = 1,464 : x
2. Step 2: Convert to fraction form
   2,506.56/3,757.78 = 1,464/x
3. Step 3: Cross multiply
   2,506.56x = 3,757.78 × 1,464
4. Step 4: Simplify right side
   2,506.56x = 5,501,389.92
5. Step 5: Solve for x
   x = 5,501,389.92/2,506.56
6. Step 6: Final answer
   x = 2,194.80