Finding the Fourth Proportional to 10,609.38, 15,889.83 and 5,066.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,609.38 : 15,889.83 = 5,066.63 : x
2. Step 2: Convert to fraction form
   10,609.38/15,889.83 = 5,066.63/x
3. Step 3: Cross multiply
   10,609.38x = 15,889.83 × 5,066.63
4. Step 4: Simplify right side
   10,609.38x = 80,507,809.92
5. Step 5: Solve for x
   x = 80,507,809.92/10,609.38
6. Step 6: Final answer
   x = 7,588.36