Finding the Fourth Proportional to 10,624.92, 14,662.62 and 5,909.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,624.92 : 14,662.62 = 5,909.10 : x
2. Step 2: Convert to fraction form
   10,624.92/14,662.62 = 5,909.10/x
3. Step 3: Cross multiply
   10,624.92x = 14,662.62 × 5,909.10
4. Step 4: Simplify right side
   10,624.92x = 86,642,887.84
5. Step 5: Solve for x
   x = 86,642,887.84/10,624.92
6. Step 6: Final answer
   x = 8,154.69