Finding the Fourth Proportional to 10,468.50, 14,446.14 and 5,688.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,468.50 : 14,446.14 = 5,688.24 : x
2. Step 2: Convert to fraction form
   10,468.50/14,446.14 = 5,688.24/x
3. Step 3: Cross multiply
   10,468.50x = 14,446.14 × 5,688.24
4. Step 4: Simplify right side
   10,468.50x = 82,173,111.39
5. Step 5: Solve for x
   x = 82,173,111.39/10,468.50
6. Step 6: Final answer
   x = 7,849.56