Finding the Fourth Proportional to 10,408.70, 14,364.06 and 5,628.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,408.70 : 14,364.06 = 5,628.64 : x
2. Step 2: Convert to fraction form
   10,408.70/14,364.06 = 5,628.64/x
3. Step 3: Cross multiply
   10,408.70x = 14,364.06 × 5,628.64
4. Step 4: Simplify right side
   10,408.70x = 80,850,050.86
5. Step 5: Solve for x
   x = 80,850,050.86/10,408.70
6. Step 6: Final answer
   x = 7,767.55