Finding the Fourth Proportional to 10,378.62, 14,322.60 and 5,662.98

Step by Step Solution

1. Step 1: Write the proportion equation
   10,378.62 : 14,322.60 = 5,662.98 : x
2. Step 2: Convert to fraction form
   10,378.62/14,322.60 = 5,662.98/x
3. Step 3: Cross multiply
   10,378.62x = 14,322.60 × 5,662.98
4. Step 4: Simplify right side
   10,378.62x = 81,108,597.35
5. Step 5: Solve for x
   x = 81,108,597.35/10,378.62
6. Step 6: Final answer
   x = 7,814.97