Finding the Fourth Proportional to 10,172.50, 14,038.30 and 5,697.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,172.50 : 14,038.30 = 5,697.16 : x
2. Step 2: Convert to fraction form
   10,172.50/14,038.30 = 5,697.16/x
3. Step 3: Cross multiply
   10,172.50x = 14,038.30 × 5,697.16
4. Step 4: Simplify right side
   10,172.50x = 79,978,413.25
5. Step 5: Solve for x
   x = 79,978,413.25/10,172.50
6. Step 6: Final answer
   x = 7,862.22