Finding the Fourth Proportional to 9,748.40, 13,453.94 and 5,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,748.40 : 13,453.94 = 5,769.50 : x
2. Step 2: Convert to fraction form
   9,748.40/13,453.94 = 5,769.50/x
3. Step 3: Cross multiply
   9,748.40x = 13,453.94 × 5,769.50
4. Step 4: Simplify right side
   9,748.40x = 77,622,506.83
5. Step 5: Solve for x
   x = 77,622,506.83/9,748.40
6. Step 6: Final answer
   x = 7,962.59