Finding the Fourth Proportional to 10,123.92, 13,971.63 and 5,647.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,123.92 : 13,971.63 = 5,647.68 : x
2. Step 2: Convert to fraction form
   10,123.92/13,971.63 = 5,647.68/x
3. Step 3: Cross multiply
   10,123.92x = 13,971.63 × 5,647.68
4. Step 4: Simplify right side
   10,123.92x = 78,907,295.32
5. Step 5: Solve for x
   x = 78,907,295.32/10,123.92
6. Step 6: Final answer
   x = 7,794.14