Finding the Fourth Proportional to 9,839.33, 13,577.32 and 5,646.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,839.33 : 13,577.32 = 5,646.77 : x
2. Step 2: Convert to fraction form
   9,839.33/13,577.32 = 5,646.77/x
3. Step 3: Cross multiply
   9,839.33x = 13,577.32 × 5,646.77
4. Step 4: Simplify right side
   9,839.33x = 76,668,003.26
5. Step 5: Solve for x
   x = 76,668,003.26/9,839.33
6. Step 6: Final answer
   x = 7,791.99