Finding the Fourth Proportional to 10,824, 14,937.12 and 5,856

Step by Step Solution

1. Step 1: Write the proportion equation
   10,824 : 14,937.12 = 5,856 : x
2. Step 2: Convert to fraction form
   10,824/14,937.12 = 5,856/x
3. Step 3: Cross multiply
   10,824x = 14,937.12 × 5,856
4. Step 4: Simplify right side
   10,824x = 87,471,774.72
5. Step 5: Solve for x
   x = 87,471,774.72/10,824
6. Step 6: Final answer
   x = 8,081.28