Finding the Fourth Proportional to 10,378.39, 14,322.16 and 5,662.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,378.39 : 14,322.16 = 5,662.67 : x
2. Step 2: Convert to fraction form
   10,378.39/14,322.16 = 5,662.67/x
3. Step 3: Cross multiply
   10,378.39x = 14,322.16 × 5,662.67
4. Step 4: Simplify right side
   10,378.39x = 81,101,665.77
5. Step 5: Solve for x
   x = 81,101,665.77/10,378.39
6. Step 6: Final answer
   x = 7,814.47