Finding the Fourth Proportional to 9,199.86, 12,696.69 and 5,665.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,199.86 : 12,696.69 = 5,665.14 : x
2. Step 2: Convert to fraction form
   9,199.86/12,696.69 = 5,665.14/x
3. Step 3: Cross multiply
   9,199.86x = 12,696.69 × 5,665.14
4. Step 4: Simplify right side
   9,199.86x = 71,928,526.39
5. Step 5: Solve for x
   x = 71,928,526.39/9,199.86
6. Step 6: Final answer
   x = 7,818.44