Finding the Fourth Proportional to 9,838.96, 13,577.88 and 5,589.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,838.96 : 13,577.88 = 5,589.88 : x
2. Step 2: Convert to fraction form
   9,838.96/13,577.88 = 5,589.88/x
3. Step 3: Cross multiply
   9,838.96x = 13,577.88 × 5,589.88
4. Step 4: Simplify right side
   9,838.96x = 75,898,719.85
5. Step 5: Solve for x
   x = 75,898,719.85/9,838.96
6. Step 6: Final answer
   x = 7,714.10