Finding the Fourth Proportional to 10,378.65, 14,322.47 and 5,662.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,378.65 : 14,322.47 = 5,662.83 : x
2. Step 2: Convert to fraction form
   10,378.65/14,322.47 = 5,662.83/x
3. Step 3: Cross multiply
   10,378.65x = 14,322.47 × 5,662.83
4. Step 4: Simplify right side
   10,378.65x = 81,105,684.48
5. Step 5: Solve for x
   x = 81,105,684.48/10,378.65
6. Step 6: Final answer
   x = 7,814.67