Finding the Fourth Proportional to 10,006.37, 13,809.86 and 5,757.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,006.37 : 13,809.86 = 5,757.62 : x
2. Step 2: Convert to fraction form
   10,006.37/13,809.86 = 5,757.62/x
3. Step 3: Cross multiply
   10,006.37x = 13,809.86 × 5,757.62
4. Step 4: Simplify right side
   10,006.37x = 79,511,849.89
5. Step 5: Solve for x
   x = 79,511,849.89/10,006.37
6. Step 6: Final answer
   x = 7,946.12