Finding the Fourth Proportional to 7,846.14, 11,754.01 and 7,447.62

Step by Step Solution

1. Step 1: Write the proportion equation
   7,846.14 : 11,754.01 = 7,447.62 : x
2. Step 2: Convert to fraction form
   7,846.14/11,754.01 = 7,447.62/x
3. Step 3: Cross multiply
   7,846.14x = 11,754.01 × 7,447.62
4. Step 4: Simplify right side
   7,846.14x = 87,539,399.96
5. Step 5: Solve for x
   x = 87,539,399.96/7,846.14
6. Step 6: Final answer
   x = 11,157.00