Finding the Fourth Proportional to 9,743.19, 13,447.34 and 5,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,743.19 : 13,447.34 = 5,766.50 : x
2. Step 2: Convert to fraction form
   9,743.19/13,447.34 = 5,766.50/x
3. Step 3: Cross multiply
   9,743.19x = 13,447.34 × 5,766.50
4. Step 4: Simplify right side
   9,743.19x = 77,543,990.04
5. Step 5: Solve for x
   x = 77,543,990.04/9,743.19
6. Step 6: Final answer
   x = 7,958.79