Finding the Fourth Proportional to 9,608.34, 13,259.88 and 5,416.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,608.34 : 13,259.88 = 5,416.50 : x
2. Step 2: Convert to fraction form
   9,608.34/13,259.88 = 5,416.50/x
3. Step 3: Cross multiply
   9,608.34x = 13,259.88 × 5,416.50
4. Step 4: Simplify right side
   9,608.34x = 71,822,140.02
5. Step 5: Solve for x
   x = 71,822,140.02/9,608.34
6. Step 6: Final answer
   x = 7,474.98