Finding the Fourth Proportional to 10,821.82, 14,934.10 and 5,853.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,821.82 : 14,934.10 = 5,853.82 : x
2. Step 2: Convert to fraction form
   10,821.82/14,934.10 = 5,853.82/x
3. Step 3: Cross multiply
   10,821.82x = 14,934.10 × 5,853.82
4. Step 4: Simplify right side
   10,821.82x = 87,421,533.26
5. Step 5: Solve for x
   x = 87,421,533.26/10,821.82
6. Step 6: Final answer
   x = 8,078.27