Finding the Fourth Proportional to 9,839.30, 13,577.76 and 5,589.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,839.30 : 13,577.76 = 5,589.77 : x
2. Step 2: Convert to fraction form
   9,839.30/13,577.76 = 5,589.77/x
3. Step 3: Cross multiply
   9,839.30x = 13,577.76 × 5,589.77
4. Step 4: Simplify right side
   9,839.30x = 75,896,487.63
5. Step 5: Solve for x
   x = 75,896,487.63/9,839.30
6. Step 6: Final answer
   x = 7,713.61