Finding the Fourth Proportional to 9,697.92, 13,383.91 and 5,666.04

Step by Step Solution

1. Step 1: Write the proportion equation
   9,697.92 : 13,383.91 = 5,666.04 : x
2. Step 2: Convert to fraction form
   9,697.92/13,383.91 = 5,666.04/x
3. Step 3: Cross multiply
   9,697.92x = 13,383.91 × 5,666.04
4. Step 4: Simplify right side
   9,697.92x = 75,833,805.44
5. Step 5: Solve for x
   x = 75,833,805.44/9,697.92
6. Step 6: Final answer
   x = 7,819.59