Finding the Fourth Proportional to 6,510.57, 9,767.40 and 2,128.02

Step by Step Solution

1. Step 1: Write the proportion equation
   6,510.57 : 9,767.40 = 2,128.02 : x
2. Step 2: Convert to fraction form
   6,510.57/9,767.40 = 2,128.02/x
3. Step 3: Cross multiply
   6,510.57x = 9,767.40 × 2,128.02
4. Step 4: Simplify right side
   6,510.57x = 20,785,222.55
5. Step 5: Solve for x
   x = 20,785,222.55/6,510.57
6. Step 6: Final answer
   x = 3,192.53