Finding the Fourth Proportional to 10,412.35, 14,369.40 and 5,696.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,412.35 : 14,369.40 = 5,696.63 : x
2. Step 2: Convert to fraction form
   10,412.35/14,369.40 = 5,696.63/x
3. Step 3: Cross multiply
   10,412.35x = 14,369.40 × 5,696.63
4. Step 4: Simplify right side
   10,412.35x = 81,857,137.16
5. Step 5: Solve for x
   x = 81,857,137.16/10,412.35
6. Step 6: Final answer
   x = 7,861.54