Finding the Fourth Proportional to 10,378.17, 14,321.91 and 5,662.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,378.17 : 14,321.91 = 5,662.47 : x
2. Step 2: Convert to fraction form
   10,378.17/14,321.91 = 5,662.47/x
3. Step 3: Cross multiply
   10,378.17x = 14,321.91 × 5,662.47
4. Step 4: Simplify right side
   10,378.17x = 81,097,385.72
5. Step 5: Solve for x
   x = 81,097,385.72/10,378.17
6. Step 6: Final answer
   x = 7,814.23