Finding the Fourth Proportional to 10,757.81, 14,845.97 and 5,978.19

Step by Step Solution

1. Step 1: Write the proportion equation
   10,757.81 : 14,845.97 = 5,978.19 : x
2. Step 2: Convert to fraction form
   10,757.81/14,845.97 = 5,978.19/x
3. Step 3: Cross multiply
   10,757.81x = 14,845.97 × 5,978.19
4. Step 4: Simplify right side
   10,757.81x = 88,752,029.39
5. Step 5: Solve for x
   x = 88,752,029.39/10,757.81
6. Step 6: Final answer
   x = 8,250.01