Finding the Fourth Proportional to 9,608.50, 13,259.73 and 5,192.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,608.50 : 13,259.73 = 5,192.50 : x
2. Step 2: Convert to fraction form
   9,608.50/13,259.73 = 5,192.50/x
3. Step 3: Cross multiply
   9,608.50x = 13,259.73 × 5,192.50
4. Step 4: Simplify right side
   9,608.50x = 68,851,148.03
5. Step 5: Solve for x
   x = 68,851,148.03/9,608.50
6. Step 6: Final answer
   x = 7,165.65