Finding the Fourth Proportional to 10,563.20, 14,577.10 and 5,783.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,563.20 : 14,577.10 = 5,783.09 : x
2. Step 2: Convert to fraction form
   10,563.20/14,577.10 = 5,783.09/x
3. Step 3: Cross multiply
   10,563.20x = 14,577.10 × 5,783.09
4. Step 4: Simplify right side
   10,563.20x = 84,300,593.90
5. Step 5: Solve for x
   x = 84,300,593.90/10,563.20
6. Step 6: Final answer
   x = 7,980.60