Finding the Fourth Proportional to 10,378.14, 14,321.93 and 5,662.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,378.14 : 14,321.93 = 5,662.46 : x
2. Step 2: Convert to fraction form
   10,378.14/14,321.93 = 5,662.46/x
3. Step 3: Cross multiply
   10,378.14x = 14,321.93 × 5,662.46
4. Step 4: Simplify right side
   10,378.14x = 81,097,255.83
5. Step 5: Solve for x
   x = 81,097,255.83/10,378.14
6. Step 6: Final answer
   x = 7,814.24