Finding the Fourth Proportional to 7,128.75, 10,683.69 and 5,160.96

Step by Step Solution

1. Step 1: Write the proportion equation
   7,128.75 : 10,683.69 = 5,160.96 : x
2. Step 2: Convert to fraction form
   7,128.75/10,683.69 = 5,160.96/x
3. Step 3: Cross multiply
   7,128.75x = 10,683.69 × 5,160.96
4. Step 4: Simplify right side
   7,128.75x = 55,138,096.74
5. Step 5: Solve for x
   x = 55,138,096.74/7,128.75
6. Step 6: Final answer
   x = 7,734.61