Finding the Fourth Proportional to 10,519.94, 14,517.48 and 5,804.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,519.94 : 14,517.48 = 5,804.20 : x
2. Step 2: Convert to fraction form
   10,519.94/14,517.48 = 5,804.20/x
3. Step 3: Cross multiply
   10,519.94x = 14,517.48 × 5,804.20
4. Step 4: Simplify right side
   10,519.94x = 84,262,284.83
5. Step 5: Solve for x
   x = 84,262,284.83/10,519.94
6. Step 6: Final answer
   x = 8,009.77