Finding the Fourth Proportional to 9,535.49, 13,155.92 and 5,759.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,535.49 : 13,155.92 = 5,759.78 : x
2. Step 2: Convert to fraction form
   9,535.49/13,155.92 = 5,759.78/x
3. Step 3: Cross multiply
   9,535.49x = 13,155.92 × 5,759.78
4. Step 4: Simplify right side
   9,535.49x = 75,775,131.92
5. Step 5: Solve for x
   x = 75,775,131.92/9,535.49
6. Step 6: Final answer
   x = 7,946.64