Finding the Fourth Proportional to 10,412.48, 14,369.24 and 5,696.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,412.48 : 14,369.24 = 5,696.76 : x
2. Step 2: Convert to fraction form
   10,412.48/14,369.24 = 5,696.76/x
3. Step 3: Cross multiply
   10,412.48x = 14,369.24 × 5,696.76
4. Step 4: Simplify right side
   10,412.48x = 81,858,111.66
5. Step 5: Solve for x
   x = 81,858,111.66/10,412.48
6. Step 6: Final answer
   x = 7,861.54