Finding the Fourth Proportional to 10,380.87, 14,325.71 and 5,665.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,380.87 : 14,325.71 = 5,665.23 : x
2. Step 2: Convert to fraction form
   10,380.87/14,325.71 = 5,665.23/x
3. Step 3: Cross multiply
   10,380.87x = 14,325.71 × 5,665.23
4. Step 4: Simplify right side
   10,380.87x = 81,158,413.74
5. Step 5: Solve for x
   x = 81,158,413.74/10,380.87
6. Step 6: Final answer
   x = 7,818.07