Finding the Fourth Proportional to 9,589.74, 13,234.20 and 5,340.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,589.74 : 13,234.20 = 5,340.96 : x
2. Step 2: Convert to fraction form
   9,589.74/13,234.20 = 5,340.96/x
3. Step 3: Cross multiply
   9,589.74x = 13,234.20 × 5,340.96
4. Step 4: Simplify right side
   9,589.74x = 70,683,332.83
5. Step 5: Solve for x
   x = 70,683,332.83/9,589.74
6. Step 6: Final answer
   x = 7,370.72