Finding the Fourth Proportional to 10,378.03, 14,321.73 and 5,662.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,378.03 : 14,321.73 = 5,662.41 : x
2. Step 2: Convert to fraction form
   10,378.03/14,321.73 = 5,662.41/x
3. Step 3: Cross multiply
   10,378.03x = 14,321.73 × 5,662.41
4. Step 4: Simplify right side
   10,378.03x = 81,095,507.17
5. Step 5: Solve for x
   x = 81,095,507.17/10,378.03
6. Step 6: Final answer
   x = 7,814.15