Finding the Fourth Proportional to 2,506.78, 3,762.46 and 1,337.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,506.78 : 3,762.46 = 1,337.76 : x
2. Step 2: Convert to fraction form
   2,506.78/3,762.46 = 1,337.76/x
3. Step 3: Cross multiply
   2,506.78x = 3,762.46 × 1,337.76
4. Step 4: Simplify right side
   2,506.78x = 5,033,268.49
5. Step 5: Solve for x
   x = 5,033,268.49/2,506.78
6. Step 6: Final answer
   x = 2,007.86