Finding the Fourth Proportional to 10,345, 14,273.61 and 6,096.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,345 : 14,273.61 = 6,096.24 : x
2. Step 2: Convert to fraction form
   10,345/14,273.61 = 6,096.24/x
3. Step 3: Cross multiply
   10,345x = 14,273.61 × 6,096.24
4. Step 4: Simplify right side
   10,345x = 87,015,280.86
5. Step 5: Solve for x
   x = 87,015,280.86/10,345
6. Step 6: Final answer
   x = 8,411.34