Finding the Fourth Proportional to 10,378.20, 14,321.88 and 5,662.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,378.20 : 14,321.88 = 5,662.49 : x
2. Step 2: Convert to fraction form
   10,378.20/14,321.88 = 5,662.49/x
3. Step 3: Cross multiply
   10,378.20x = 14,321.88 × 5,662.49
4. Step 4: Simplify right side
   10,378.20x = 81,097,430.67
5. Step 5: Solve for x
   x = 81,097,430.67/10,378.20
6. Step 6: Final answer
   x = 7,814.21