Finding the Fourth Proportional to 10,124.12, 13,971.24 and 5,647.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,124.12 : 13,971.24 = 5,647.88 : x
2. Step 2: Convert to fraction form
   10,124.12/13,971.24 = 5,647.88/x
3. Step 3: Cross multiply
   10,124.12x = 13,971.24 × 5,647.88
4. Step 4: Simplify right side
   10,124.12x = 78,907,871.11
5. Step 5: Solve for x
   x = 78,907,871.11/10,124.12
6. Step 6: Final answer
   x = 7,794.05