Finding the Fourth Proportional to 7,096.42, 10,645.02 and 2,166.40

Step by Step Solution

1. Step 1: Write the proportion equation
   7,096.42 : 10,645.02 = 2,166.40 : x
2. Step 2: Convert to fraction form
   7,096.42/10,645.02 = 2,166.40/x
3. Step 3: Cross multiply
   7,096.42x = 10,645.02 × 2,166.40
4. Step 4: Simplify right side
   7,096.42x = 23,061,371.33
5. Step 5: Solve for x
   x = 23,061,371.33/7,096.42
6. Step 6: Final answer
   x = 3,249.72