Finding the Fourth Proportional to 10,821.50, 14,933.68 and 5,853.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,821.50 : 14,933.68 = 5,853.50 : x
2. Step 2: Convert to fraction form
   10,821.50/14,933.68 = 5,853.50/x
3. Step 3: Cross multiply
   10,821.50x = 14,933.68 × 5,853.50
4. Step 4: Simplify right side
   10,821.50x = 87,414,295.88
5. Step 5: Solve for x
   x = 87,414,295.88/10,821.50
6. Step 6: Final answer
   x = 8,077.84