Finding the Fourth Proportional to 10,414.21, 14,371.55 and 5,634.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.21 : 14,371.55 = 5,634.14 : x
2. Step 2: Convert to fraction form
   10,414.21/14,371.55 = 5,634.14/x
3. Step 3: Cross multiply
   10,414.21x = 14,371.55 × 5,634.14
4. Step 4: Simplify right side
   10,414.21x = 80,971,249.70
5. Step 5: Solve for x
   x = 80,971,249.70/10,414.21
6. Step 6: Final answer
   x = 7,775.08