Finding the Fourth Proportional to 9,669.69, 13,343.18 and 5,690.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,669.69 : 13,343.18 = 5,690.57 : x
2. Step 2: Convert to fraction form
   9,669.69/13,343.18 = 5,690.57/x
3. Step 3: Cross multiply
   9,669.69x = 13,343.18 × 5,690.57
4. Step 4: Simplify right side
   9,669.69x = 75,930,254.68
5. Step 5: Solve for x
   x = 75,930,254.68/9,669.69
6. Step 6: Final answer
   x = 7,852.39