Finding the Fourth Proportional to 10,823.39, 14,936.52 and 5,978.11

Step by Step Solution

1. Step 1: Write the proportion equation
   10,823.39 : 14,936.52 = 5,978.11 : x
2. Step 2: Convert to fraction form
   10,823.39/14,936.52 = 5,978.11/x
3. Step 3: Cross multiply
   10,823.39x = 14,936.52 × 5,978.11
4. Step 4: Simplify right side
   10,823.39x = 89,292,055.00
5. Step 5: Solve for x
   x = 89,292,055.00/10,823.39
6. Step 6: Final answer
   x = 8,249.92