Finding the Fourth Proportional to 6,989.94, 9,646.05 and 3,846.12

Step by Step Solution

1. Step 1: Write the proportion equation
   6,989.94 : 9,646.05 = 3,846.12 : x
2. Step 2: Convert to fraction form
   6,989.94/9,646.05 = 3,846.12/x
3. Step 3: Cross multiply
   6,989.94x = 9,646.05 × 3,846.12
4. Step 4: Simplify right side
   6,989.94x = 37,099,865.83
5. Step 5: Solve for x
   x = 37,099,865.83/6,989.94
6. Step 6: Final answer
   x = 5,307.61