Finding the Fourth Proportional to 9,758.92, 14,644.86 and 5,145.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,758.92 : 14,644.86 = 5,145.16 : x
2. Step 2: Convert to fraction form
   9,758.92/14,644.86 = 5,145.16/x
3. Step 3: Cross multiply
   9,758.92x = 14,644.86 × 5,145.16
4. Step 4: Simplify right side
   9,758.92x = 75,350,147.88
5. Step 5: Solve for x
   x = 75,350,147.88/9,758.92
6. Step 6: Final answer
   x = 7,721.16