Finding the Fourth Proportional to 9,738.76, 13,436.82 and 5,758.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,738.76 : 13,436.82 = 5,758.12 : x
2. Step 2: Convert to fraction form
   9,738.76/13,436.82 = 5,758.12/x
3. Step 3: Cross multiply
   9,738.76x = 13,436.82 × 5,758.12
4. Step 4: Simplify right side
   9,738.76x = 77,370,821.98
5. Step 5: Solve for x
   x = 77,370,821.98/9,738.76
6. Step 6: Final answer
   x = 7,944.63