Finding the Fourth Proportional to 7,002.12, 9,662.84 and 3,815.56

Step by Step Solution

1. Step 1: Write the proportion equation
   7,002.12 : 9,662.84 = 3,815.56 : x
2. Step 2: Convert to fraction form
   7,002.12/9,662.84 = 3,815.56/x
3. Step 3: Cross multiply
   7,002.12x = 9,662.84 × 3,815.56
4. Step 4: Simplify right side
   7,002.12x = 36,869,131.17
5. Step 5: Solve for x
   x = 36,869,131.17/7,002.12
6. Step 6: Final answer
   x = 5,265.42