Finding the Fourth Proportional to 9,788.14, 13,510.85 and 5,754.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,788.14 : 13,510.85 = 5,754.78 : x
2. Step 2: Convert to fraction form
   9,788.14/13,510.85 = 5,754.78/x
3. Step 3: Cross multiply
   9,788.14x = 13,510.85 × 5,754.78
4. Step 4: Simplify right side
   9,788.14x = 77,751,937.45
5. Step 5: Solve for x
   x = 77,751,937.45/9,788.14
6. Step 6: Final answer
   x = 7,943.48