Finding the Fourth Proportional to 10,563.47, 14,577.34 and 5,783.39

Step by Step Solution

1. Step 1: Write the proportion equation
   10,563.47 : 14,577.34 = 5,783.39 : x
2. Step 2: Convert to fraction form
   10,563.47/14,577.34 = 5,783.39/x
3. Step 3: Cross multiply
   10,563.47x = 14,577.34 × 5,783.39
4. Step 4: Simplify right side
   10,563.47x = 84,306,442.38
5. Step 5: Solve for x
   x = 84,306,442.38/10,563.47
6. Step 6: Final answer
   x = 7,980.94