Finding the Fourth Proportional to 10,382.76, 14,328.41 and 5,906.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,382.76 : 14,328.41 = 5,906.61 : x
2. Step 2: Convert to fraction form
   10,382.76/14,328.41 = 5,906.61/x
3. Step 3: Cross multiply
   10,382.76x = 14,328.41 × 5,906.61
4. Step 4: Simplify right side
   10,382.76x = 84,632,300.26
5. Step 5: Solve for x
   x = 84,632,300.26/10,382.76
6. Step 6: Final answer
   x = 8,151.23