Finding the Fourth Proportional to 10,137.56, 13,989.94 and 5,945.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,137.56 : 13,989.94 = 5,945.88 : x
2. Step 2: Convert to fraction form
   10,137.56/13,989.94 = 5,945.88/x
3. Step 3: Cross multiply
   10,137.56x = 13,989.94 × 5,945.88
4. Step 4: Simplify right side
   10,137.56x = 83,182,504.45
5. Step 5: Solve for x
   x = 83,182,504.45/10,137.56
6. Step 6: Final answer
   x = 8,205.38