Finding the Fourth Proportional to 10,382.88, 14,328.32 and 5,667.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,382.88 : 14,328.32 = 5,667.15 : x
2. Step 2: Convert to fraction form
   10,382.88/14,328.32 = 5,667.15/x
3. Step 3: Cross multiply
   10,382.88x = 14,328.32 × 5,667.15
4. Step 4: Simplify right side
   10,382.88x = 81,200,738.69
5. Step 5: Solve for x
   x = 81,200,738.69/10,382.88
6. Step 6: Final answer
   x = 7,820.64