Finding the Fourth Proportional to 9,609.06, 13,258.98 and 5,416.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,609.06 : 13,258.98 = 5,416.50 : x
2. Step 2: Convert to fraction form
   9,609.06/13,258.98 = 5,416.50/x
3. Step 3: Cross multiply
   9,609.06x = 13,258.98 × 5,416.50
4. Step 4: Simplify right side
   9,609.06x = 71,817,265.17
5. Step 5: Solve for x
   x = 71,817,265.17/9,609.06
6. Step 6: Final answer
   x = 7,473.91