Finding the Fourth Proportional to 10,412.53, 14,369.17 and 5,696.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,412.53 : 14,369.17 = 5,696.75 : x
2. Step 2: Convert to fraction form
   10,412.53/14,369.17 = 5,696.75/x
3. Step 3: Cross multiply
   10,412.53x = 14,369.17 × 5,696.75
4. Step 4: Simplify right side
   10,412.53x = 81,857,569.20
5. Step 5: Solve for x
   x = 81,857,569.20/10,412.53
6. Step 6: Final answer
   x = 7,861.45