Finding the Fourth Proportional to 2,505.82, 3,757.34 and 1,411.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.82 : 3,757.34 = 1,411.40 : x
2. Step 2: Convert to fraction form
   2,505.82/3,757.34 = 1,411.40/x
3. Step 3: Cross multiply
   2,505.82x = 3,757.34 × 1,411.40
4. Step 4: Simplify right side
   2,505.82x = 5,303,109.68
5. Step 5: Solve for x
   x = 5,303,109.68/2,505.82
6. Step 6: Final answer
   x = 2,116.32