Finding the Fourth Proportional to 10,412.48, 14,369.57 and 5,696.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,412.48 : 14,369.57 = 5,696.75 : x
2. Step 2: Convert to fraction form
   10,412.48/14,369.57 = 5,696.75/x
3. Step 3: Cross multiply
   10,412.48x = 14,369.57 × 5,696.75
4. Step 4: Simplify right side
   10,412.48x = 81,859,898.06
5. Step 5: Solve for x
   x = 81,859,898.06/10,412.48
6. Step 6: Final answer
   x = 7,861.71