Finding the Fourth Proportional to 7,106.10, 10,662.22 and 3,815.34

Step by Step Solution

1. Step 1: Write the proportion equation
   7,106.10 : 10,662.22 = 3,815.34 : x
2. Step 2: Convert to fraction form
   7,106.10/10,662.22 = 3,815.34/x
3. Step 3: Cross multiply
   7,106.10x = 10,662.22 × 3,815.34
4. Step 4: Simplify right side
   7,106.10x = 40,679,994.45
5. Step 5: Solve for x
   x = 40,679,994.45/7,106.10
6. Step 6: Final answer
   x = 5,724.66