Finding the Fourth Proportional to 10,444.50, 14,413.46 and 5,664.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,444.50 : 14,413.46 = 5,664.53 : x
2. Step 2: Convert to fraction form
   10,444.50/14,413.46 = 5,664.53/x
3. Step 3: Cross multiply
   10,444.50x = 14,413.46 × 5,664.53
4. Step 4: Simplify right side
   10,444.50x = 81,645,484.28
5. Step 5: Solve for x
   x = 81,645,484.28/10,444.50
6. Step 6: Final answer
   x = 7,817.08