Finding the Fourth Proportional to 10,378.58, 14,322.38 and 5,662.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,378.58 : 14,322.38 = 5,662.86 : x
2. Step 2: Convert to fraction form
   10,378.58/14,322.38 = 5,662.86/x
3. Step 3: Cross multiply
   10,378.58x = 14,322.38 × 5,662.86
4. Step 4: Simplify right side
   10,378.58x = 81,105,632.81
5. Step 5: Solve for x
   x = 81,105,632.81/10,378.58
6. Step 6: Final answer
   x = 7,814.71