Finding the Fourth Proportional to 9,872.50, 13,624.05 and 5,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,872.50 : 13,624.05 = 5,456.50 : x
2. Step 2: Convert to fraction form
   9,872.50/13,624.05 = 5,456.50/x
3. Step 3: Cross multiply
   9,872.50x = 13,624.05 × 5,456.50
4. Step 4: Simplify right side
   9,872.50x = 74,339,628.83
5. Step 5: Solve for x
   x = 74,339,628.83/9,872.50
6. Step 6: Final answer
   x = 7,529.97