Finding the Fourth Proportional to 9,199.64, 12,697.97 and 5,665.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,199.64 : 12,697.97 = 5,665.82 : x
2. Step 2: Convert to fraction form
   9,199.64/12,697.97 = 5,665.82/x
3. Step 3: Cross multiply
   9,199.64x = 12,697.97 × 5,665.82
4. Step 4: Simplify right side
   9,199.64x = 71,944,320.57
5. Step 5: Solve for x
   x = 71,944,320.57/9,199.64
6. Step 6: Final answer
   x = 7,820.34