Finding the Fourth Proportional to 10,412.78, 14,369.94 and 5,697.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,412.78 : 14,369.94 = 5,697.32 : x
2. Step 2: Convert to fraction form
   10,412.78/14,369.94 = 5,697.32/x
3. Step 3: Cross multiply
   10,412.78x = 14,369.94 × 5,697.32
4. Step 4: Simplify right side
   10,412.78x = 81,870,146.56
5. Step 5: Solve for x
   x = 81,870,146.56/10,412.78
6. Step 6: Final answer
   x = 7,862.47