Finding the Fourth Proportional to 2,505.18, 3,758.85 and 1,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.18 : 3,758.85 = 1,411.50 : x
2. Step 2: Convert to fraction form
   2,505.18/3,758.85 = 1,411.50/x
3. Step 3: Cross multiply
   2,505.18x = 3,758.85 × 1,411.50
4. Step 4: Simplify right side
   2,505.18x = 5,305,616.78
5. Step 5: Solve for x
   x = 5,305,616.78/2,505.18
6. Step 6: Final answer
   x = 2,117.86