Finding the Fourth Proportional to 9,769.10, 13,480.52 and 5,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,769.10 : 13,480.52 = 5,735.50 : x
2. Step 2: Convert to fraction form
   9,769.10/13,480.52 = 5,735.50/x
3. Step 3: Cross multiply
   9,769.10x = 13,480.52 × 5,735.50
4. Step 4: Simplify right side
   9,769.10x = 77,317,522.46
5. Step 5: Solve for x
   x = 77,317,522.46/9,769.10
6. Step 6: Final answer
   x = 7,914.50