Finding the Fourth Proportional to 6,989.57, 9,645.60 and 3,845.96

Step by Step Solution

1. Step 1: Write the proportion equation
   6,989.57 : 9,645.60 = 3,845.96 : x
2. Step 2: Convert to fraction form
   6,989.57/9,645.60 = 3,845.96/x
3. Step 3: Cross multiply
   6,989.57x = 9,645.60 × 3,845.96
4. Step 4: Simplify right side
   6,989.57x = 37,096,524.32
5. Step 5: Solve for x
   x = 37,096,524.32/6,989.57
6. Step 6: Final answer
   x = 5,307.42