Finding the Fourth Proportional to 6,996.65, 9,655.34 and 3,852.83

Step by Step Solution

1. Step 1: Write the proportion equation
   6,996.65 : 9,655.34 = 3,852.83 : x
2. Step 2: Convert to fraction form
   6,996.65/9,655.34 = 3,852.83/x
3. Step 3: Cross multiply
   6,996.65x = 9,655.34 × 3,852.83
4. Step 4: Simplify right side
   6,996.65x = 37,200,383.61
5. Step 5: Solve for x
   x = 37,200,383.61/6,996.65
6. Step 6: Final answer
   x = 5,316.89