Finding the Fourth Proportional to 10,121.83, 13,968.14 and 5,645.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,121.83 : 13,968.14 = 5,645.46 : x
2. Step 2: Convert to fraction form
   10,121.83/13,968.14 = 5,645.46/x
3. Step 3: Cross multiply
   10,121.83x = 13,968.14 × 5,645.46
4. Step 4: Simplify right side
   10,121.83x = 78,856,605.36
5. Step 5: Solve for x
   x = 78,856,605.36/10,121.83
6. Step 6: Final answer
   x = 7,790.75