Finding the Fourth Proportional to 10,624.64, 14,661.79 and 5,908.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,624.64 : 14,661.79 = 5,908.82 : x
2. Step 2: Convert to fraction form
   10,624.64/14,661.79 = 5,908.82/x
3. Step 3: Cross multiply
   10,624.64x = 14,661.79 × 5,908.82
4. Step 4: Simplify right side
   10,624.64x = 86,633,877.99
5. Step 5: Solve for x
   x = 86,633,877.99/10,624.64
6. Step 6: Final answer
   x = 8,154.05