Finding the Fourth Proportional to 10,412.41, 14,369.14 and 5,696.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,412.41 : 14,369.14 = 5,696.69 : x
2. Step 2: Convert to fraction form
   10,412.41/14,369.14 = 5,696.69/x
3. Step 3: Cross multiply
   10,412.41x = 14,369.14 × 5,696.69
4. Step 4: Simplify right side
   10,412.41x = 81,856,536.15
5. Step 5: Solve for x
   x = 81,856,536.15/10,412.41
6. Step 6: Final answer
   x = 7,861.44