Finding the Fourth Proportional to 10,412.28, 14,369.31 and 5,696.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,412.28 : 14,369.31 = 5,696.57 : x
2. Step 2: Convert to fraction form
   10,412.28/14,369.31 = 5,696.57/x
3. Step 3: Cross multiply
   10,412.28x = 14,369.31 × 5,696.57
4. Step 4: Simplify right side
   10,412.28x = 81,855,708.42
5. Step 5: Solve for x
   x = 81,855,708.42/10,412.28
6. Step 6: Final answer
   x = 7,861.46