Finding the Fourth Proportional to 7,746.30, 10,683.72 and 5,096.43

Step by Step Solution

1. Step 1: Write the proportion equation
   7,746.30 : 10,683.72 = 5,096.43 : x
2. Step 2: Convert to fraction form
   7,746.30/10,683.72 = 5,096.43/x
3. Step 3: Cross multiply
   7,746.30x = 10,683.72 × 5,096.43
4. Step 4: Simplify right side
   7,746.30x = 54,448,831.12
5. Step 5: Solve for x
   x = 54,448,831.12/7,746.30
6. Step 6: Final answer
   x = 7,029.01