Finding the Fourth Proportional to 6,989.76, 9,646.02 and 3,846.15

Step by Step Solution

1. Step 1: Write the proportion equation
   6,989.76 : 9,646.02 = 3,846.15 : x
2. Step 2: Convert to fraction form
   6,989.76/9,646.02 = 3,846.15/x
3. Step 3: Cross multiply
   6,989.76x = 9,646.02 × 3,846.15
4. Step 4: Simplify right side
   6,989.76x = 37,100,039.82
5. Step 5: Solve for x
   x = 37,100,039.82/6,989.76
6. Step 6: Final answer
   x = 5,307.77