Finding the Fourth Proportional to 10,378.08, 14,322.02 and 5,662.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,378.08 : 14,322.02 = 5,662.64 : x
2. Step 2: Convert to fraction form
   10,378.08/14,322.02 = 5,662.64/x
3. Step 3: Cross multiply
   10,378.08x = 14,322.02 × 5,662.64
4. Step 4: Simplify right side
   10,378.08x = 81,100,443.33
5. Step 5: Solve for x
   x = 81,100,443.33/10,378.08
6. Step 6: Final answer
   x = 7,814.59