Finding the Fourth Proportional to 9,646.89, 13,312.98 and 5,397.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,646.89 : 13,312.98 = 5,397.83 : x
2. Step 2: Convert to fraction form
   9,646.89/13,312.98 = 5,397.83/x
3. Step 3: Cross multiply
   9,646.89x = 13,312.98 × 5,397.83
4. Step 4: Simplify right side
   9,646.89x = 71,861,136.27
5. Step 5: Solve for x
   x = 71,861,136.27/9,646.89
6. Step 6: Final answer
   x = 7,449.15