Finding the Fourth Proportional to 10,382.54, 14,327.92 and 5,667.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,382.54 : 14,327.92 = 5,667.10 : x
2. Step 2: Convert to fraction form
   10,382.54/14,327.92 = 5,667.10/x
3. Step 3: Cross multiply
   10,382.54x = 14,327.92 × 5,667.10
4. Step 4: Simplify right side
   10,382.54x = 81,197,755.43
5. Step 5: Solve for x
   x = 81,197,755.43/10,382.54
6. Step 6: Final answer
   x = 7,820.61