Finding the Fourth Proportional to 9,724.26, 13,419.52 and 5,532.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,724.26 : 13,419.52 = 5,532.50 : x
2. Step 2: Convert to fraction form
   9,724.26/13,419.52 = 5,532.50/x
3. Step 3: Cross multiply
   9,724.26x = 13,419.52 × 5,532.50
4. Step 4: Simplify right side
   9,724.26x = 74,243,494.40
5. Step 5: Solve for x
   x = 74,243,494.40/9,724.26
6. Step 6: Final answer
   x = 7,634.87