Finding the Fourth Proportional to 10,945.75, 15,105.15 and 5,977.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,945.75 : 15,105.15 = 5,977.75 : x
2. Step 2: Convert to fraction form
   10,945.75/15,105.15 = 5,977.75/x
3. Step 3: Cross multiply
   10,945.75x = 15,105.15 × 5,977.75
4. Step 4: Simplify right side
   10,945.75x = 90,294,810.41
5. Step 5: Solve for x
   x = 90,294,810.41/10,945.75
6. Step 6: Final answer
   x = 8,249.30