Finding the Fourth Proportional to 10,412.54, 14,369.67 and 5,696.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,412.54 : 14,369.67 = 5,696.83 : x
2. Step 2: Convert to fraction form
   10,412.54/14,369.67 = 5,696.83/x
3. Step 3: Cross multiply
   10,412.54x = 14,369.67 × 5,696.83
4. Step 4: Simplify right side
   10,412.54x = 81,861,504.28
5. Step 5: Solve for x
   x = 81,861,504.28/10,412.54
6. Step 6: Final answer
   x = 7,861.82