Finding the Fourth Proportional to 10,096.18, 13,929.54 and 7,113.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.18 : 13,929.54 = 7,113.65 : x
2. Step 2: Convert to fraction form
   10,096.18/13,929.54 = 7,113.65/x
3. Step 3: Cross multiply
   10,096.18x = 13,929.54 × 7,113.65
4. Step 4: Simplify right side
   10,096.18x = 99,089,872.22
5. Step 5: Solve for x
   x = 99,089,872.22/10,096.18
6. Step 6: Final answer
   x = 9,814.60