Finding the Fourth Proportional to 9,645.10, 13,310.34 and 5,666.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,645.10 : 13,310.34 = 5,666.38 : x
2. Step 2: Convert to fraction form
   9,645.10/13,310.34 = 5,666.38/x
3. Step 3: Cross multiply
   9,645.10x = 13,310.34 × 5,666.38
4. Step 4: Simplify right side
   9,645.10x = 75,421,377.82
5. Step 5: Solve for x
   x = 75,421,377.82/9,645.10
6. Step 6: Final answer
   x = 7,819.66