Finding the Fourth Proportional to 10,520.64, 14,517.77 and 5,805

Step by Step Solution

1. Step 1: Write the proportion equation
   10,520.64 : 14,517.77 = 5,805 : x
2. Step 2: Convert to fraction form
   10,520.64/14,517.77 = 5,805/x
3. Step 3: Cross multiply
   10,520.64x = 14,517.77 × 5,805
4. Step 4: Simplify right side
   10,520.64x = 84,275,625.83
5. Step 5: Solve for x
   x = 84,275,625.83/10,520.64
6. Step 6: Final answer
   x = 8,010.50