Finding the Fourth Proportional to 10,824.50, 14,937.82 and 5,856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,824.50 : 14,937.82 = 5,856.50 : x
2. Step 2: Convert to fraction form
   10,824.50/14,937.82 = 5,856.50/x
3. Step 3: Cross multiply
   10,824.50x = 14,937.82 × 5,856.50
4. Step 4: Simplify right side
   10,824.50x = 87,483,342.83
5. Step 5: Solve for x
   x = 87,483,342.83/10,824.50
6. Step 6: Final answer
   x = 8,081.98