Finding the Fourth Proportional to 10,005.00, 13,805.71 and 5,971.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,005.00 : 13,805.71 = 5,971.08 : x
2. Step 2: Convert to fraction form
   10,005.00/13,805.71 = 5,971.08/x
3. Step 3: Cross multiply
   10,005.00x = 13,805.71 × 5,971.08
4. Step 4: Simplify right side
   10,005.00x = 82,434,958.05
5. Step 5: Solve for x
   x = 82,434,958.05/10,005.00
6. Step 6: Final answer
   x = 8,239.38