Finding the Fourth Proportional to 10,563.27, 14,577.54 and 5,783.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,563.27 : 14,577.54 = 5,783.41 : x
2. Step 2: Convert to fraction form
   10,563.27/14,577.54 = 5,783.41/x
3. Step 3: Cross multiply
   10,563.27x = 14,577.54 × 5,783.41
4. Step 4: Simplify right side
   10,563.27x = 84,307,887.15
5. Step 5: Solve for x
   x = 84,307,887.15/10,563.27
6. Step 6: Final answer
   x = 7,981.23