Finding the Fourth Proportional to 10,638.18, 14,680.71 and 5,922.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,638.18 : 14,680.71 = 5,922.63 : x
2. Step 2: Convert to fraction form
   10,638.18/14,680.71 = 5,922.63/x
3. Step 3: Cross multiply
   10,638.18x = 14,680.71 × 5,922.63
4. Step 4: Simplify right side
   10,638.18x = 86,948,413.47
5. Step 5: Solve for x
   x = 86,948,413.47/10,638.18
6. Step 6: Final answer
   x = 8,173.24