Finding the Fourth Proportional to 9,624.25, 13,281.78 and 5,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,624.25 : 13,281.78 = 5,432.50 : x
2. Step 2: Convert to fraction form
   9,624.25/13,281.78 = 5,432.50/x
3. Step 3: Cross multiply
   9,624.25x = 13,281.78 × 5,432.50
4. Step 4: Simplify right side
   9,624.25x = 72,153,269.85
5. Step 5: Solve for x
   x = 72,153,269.85/9,624.25
6. Step 6: Final answer
   x = 7,497.03