Finding the Fourth Proportional to 10,382.74, 14,328.18 and 5,667.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,382.74 : 14,328.18 = 5,667.02 : x
2. Step 2: Convert to fraction form
   10,382.74/14,328.18 = 5,667.02/x
3. Step 3: Cross multiply
   10,382.74x = 14,328.18 × 5,667.02
4. Step 4: Simplify right side
   10,382.74x = 81,198,097.19
5. Step 5: Solve for x
   x = 81,198,097.19/10,382.74
6. Step 6: Final answer
   x = 7,820.49