Finding the Fourth Proportional to 7,096.72, 9,795.23 and 4,114.35

Step by Step Solution

1. Step 1: Write the proportion equation
   7,096.72 : 9,795.23 = 4,114.35 : x
2. Step 2: Convert to fraction form
   7,096.72/9,795.23 = 4,114.35/x
3. Step 3: Cross multiply
   7,096.72x = 9,795.23 × 4,114.35
4. Step 4: Simplify right side
   7,096.72x = 40,301,004.55
5. Step 5: Solve for x
   x = 40,301,004.55/7,096.72
6. Step 6: Final answer
   x = 5,678.82