Finding the Fourth Proportional to 10,564.09, 14,577.89 and 5,783.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,564.09 : 14,577.89 = 5,783.12 : x
2. Step 2: Convert to fraction form
   10,564.09/14,577.89 = 5,783.12/x
3. Step 3: Cross multiply
   10,564.09x = 14,577.89 × 5,783.12
4. Step 4: Simplify right side
   10,564.09x = 84,305,638.32
5. Step 5: Solve for x
   x = 84,305,638.32/10,564.09
6. Step 6: Final answer
   x = 7,980.40