Finding the Fourth Proportional to 10,804.50, 14,910.21 and 5,836.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,804.50 : 14,910.21 = 5,836.50 : x
2. Step 2: Convert to fraction form
   10,804.50/14,910.21 = 5,836.50/x
3. Step 3: Cross multiply
   10,804.50x = 14,910.21 × 5,836.50
4. Step 4: Simplify right side
   10,804.50x = 87,023,440.67
5. Step 5: Solve for x
   x = 87,023,440.67/10,804.50
6. Step 6: Final answer
   x = 8,054.37