Finding the Fourth Proportional to 10,624.21, 14,661.60 and 5,908.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,624.21 : 14,661.60 = 5,908.49 : x
2. Step 2: Convert to fraction form
   10,624.21/14,661.60 = 5,908.49/x
3. Step 3: Cross multiply
   10,624.21x = 14,661.60 × 5,908.49
4. Step 4: Simplify right side
   10,624.21x = 86,627,938.87
5. Step 5: Solve for x
   x = 86,627,938.87/10,624.21
6. Step 6: Final answer
   x = 8,153.82