Finding the Fourth Proportional to 3,758.61, 5,189.24 and 2,414.77

Step by Step Solution

1. Step 1: Write the proportion equation
   3,758.61 : 5,189.24 = 2,414.77 : x
2. Step 2: Convert to fraction form
   3,758.61/5,189.24 = 2,414.77/x
3. Step 3: Cross multiply
   3,758.61x = 5,189.24 × 2,414.77
4. Step 4: Simplify right side
   3,758.61x = 12,530,814.14
5. Step 5: Solve for x
   x = 12,530,814.14/3,758.61
6. Step 6: Final answer
   x = 3,333.89