Finding the Fourth Proportional to 9,528.50, 13,149.33 and 5,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,528.50 : 13,149.33 = 5,802.50 : x
2. Step 2: Convert to fraction form
   9,528.50/13,149.33 = 5,802.50/x
3. Step 3: Cross multiply
   9,528.50x = 13,149.33 × 5,802.50
4. Step 4: Simplify right side
   9,528.50x = 76,298,987.33
5. Step 5: Solve for x
   x = 76,298,987.33/9,528.50
6. Step 6: Final answer
   x = 8,007.45