Finding the Fourth Proportional to 10,378.72, 14,322.24 and 5,662.92

Step by Step Solution

1. Step 1: Write the proportion equation
   10,378.72 : 14,322.24 = 5,662.92 : x
2. Step 2: Convert to fraction form
   10,378.72/14,322.24 = 5,662.92/x
3. Step 3: Cross multiply
   10,378.72x = 14,322.24 × 5,662.92
4. Step 4: Simplify right side
   10,378.72x = 81,105,699.34
5. Step 5: Solve for x
   x = 81,105,699.34/10,378.72
6. Step 6: Final answer
   x = 7,814.61