Finding the Fourth Proportional to 2,507.71, 3,757.97 and 1,409.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,507.71 : 3,757.97 = 1,409.77 : x
2. Step 2: Convert to fraction form
   2,507.71/3,757.97 = 1,409.77/x
3. Step 3: Cross multiply
   2,507.71x = 3,757.97 × 1,409.77
4. Step 4: Simplify right side
   2,507.71x = 5,297,876.89
5. Step 5: Solve for x
   x = 5,297,876.89/2,507.71
6. Step 6: Final answer
   x = 2,112.64