Finding the Fourth Proportional to 10,378.22, 14,321.99 and 5,662.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,378.22 : 14,321.99 = 5,662.60 : x
2. Step 2: Convert to fraction form
   10,378.22/14,321.99 = 5,662.60/x
3. Step 3: Cross multiply
   10,378.22x = 14,321.99 × 5,662.60
4. Step 4: Simplify right side
   10,378.22x = 81,099,678.93
5. Step 5: Solve for x
   x = 81,099,678.93/10,378.22
6. Step 6: Final answer
   x = 7,814.41