Finding the Fourth Proportional to 11,709.30, 16,158.89 and 6,404.10

Step by Step Solution

1. Step 1: Write the proportion equation
   11,709.30 : 16,158.89 = 6,404.10 : x
2. Step 2: Convert to fraction form
   11,709.30/16,158.89 = 6,404.10/x
3. Step 3: Cross multiply
   11,709.30x = 16,158.89 × 6,404.10
4. Step 4: Simplify right side
   11,709.30x = 103,483,147.45
5. Step 5: Solve for x
   x = 103,483,147.45/11,709.30
6. Step 6: Final answer
   x = 8,837.69