Finding the Fourth Proportional to 10,956.69, 16,429.77 and 5,686.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,956.69 : 16,429.77 = 5,686.38 : x
2. Step 2: Convert to fraction form
   10,956.69/16,429.77 = 5,686.38/x
3. Step 3: Cross multiply
   10,956.69x = 16,429.77 × 5,686.38
4. Step 4: Simplify right side
   10,956.69x = 93,425,915.53
5. Step 5: Solve for x
   x = 93,425,915.53/10,956.69
6. Step 6: Final answer
   x = 8,526.84