Finding the Fourth Proportional to 10,127.75, 13,976.24 and 5,651.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,127.75 : 13,976.24 = 5,651.23 : x
2. Step 2: Convert to fraction form
   10,127.75/13,976.24 = 5,651.23/x
3. Step 3: Cross multiply
   10,127.75x = 13,976.24 × 5,651.23
4. Step 4: Simplify right side
   10,127.75x = 78,982,925.96
5. Step 5: Solve for x
   x = 78,982,925.96/10,127.75
6. Step 6: Final answer
   x = 7,798.67