Finding the Fourth Proportional to 10,517.20, 14,513.76 and 5,801.44

Step by Step Solution

1. Step 1: Write the proportion equation
   10,517.20 : 14,513.76 = 5,801.44 : x
2. Step 2: Convert to fraction form
   10,517.20/14,513.76 = 5,801.44/x
3. Step 3: Cross multiply
   10,517.20x = 14,513.76 × 5,801.44
4. Step 4: Simplify right side
   10,517.20x = 84,200,707.81
5. Step 5: Solve for x
   x = 84,200,707.81/10,517.20
6. Step 6: Final answer
   x = 8,006.00