Finding the Fourth Proportional to 9,569.82, 14,338.50 and 5,864.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,569.82 : 14,338.50 = 5,864.28 : x
2. Step 2: Convert to fraction form
   9,569.82/14,338.50 = 5,864.28/x
3. Step 3: Cross multiply
   9,569.82x = 14,338.50 × 5,864.28
4. Step 4: Simplify right side
   9,569.82x = 84,084,978.78
5. Step 5: Solve for x
   x = 84,084,978.78/9,569.82
6. Step 6: Final answer
   x = 8,786.47