Finding the Fourth Proportional to 10,624.14, 14,662.20 and 5,909.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,624.14 : 14,662.20 = 5,909.31 : x
2. Step 2: Convert to fraction form
   10,624.14/14,662.20 = 5,909.31/x
3. Step 3: Cross multiply
   10,624.14x = 14,662.20 × 5,909.31
4. Step 4: Simplify right side
   10,624.14x = 86,643,485.08
5. Step 5: Solve for x
   x = 86,643,485.08/10,624.14
6. Step 6: Final answer
   x = 8,155.34