Finding the Fourth Proportional to 10,378.29, 14,322.12 and 5,662.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,378.29 : 14,322.12 = 5,662.56 : x
2. Step 2: Convert to fraction form
   10,378.29/14,322.12 = 5,662.56/x
3. Step 3: Cross multiply
   10,378.29x = 14,322.12 × 5,662.56
4. Step 4: Simplify right side
   10,378.29x = 81,099,863.83
5. Step 5: Solve for x
   x = 81,099,863.83/10,378.29
6. Step 6: Final answer
   x = 7,814.38