Finding the Fourth Proportional to 9,899.82, 13,662.99 and 5,709.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,899.82 : 13,662.99 = 5,709.42 : x
2. Step 2: Convert to fraction form
   9,899.82/13,662.99 = 5,709.42/x
3. Step 3: Cross multiply
   9,899.82x = 13,662.99 × 5,709.42
4. Step 4: Simplify right side
   9,899.82x = 78,007,748.37
5. Step 5: Solve for x
   x = 78,007,748.37/9,899.82
6. Step 6: Final answer
   x = 7,879.71