Finding the Fourth Proportional to 6,990.38, 9,646.72 and 3,846.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,990.38 : 9,646.72 = 3,846.50 : x
2. Step 2: Convert to fraction form
   6,990.38/9,646.72 = 3,846.50/x
3. Step 3: Cross multiply
   6,990.38x = 9,646.72 × 3,846.50
4. Step 4: Simplify right side
   6,990.38x = 37,106,050.63
5. Step 5: Solve for x
   x = 37,106,050.63/6,990.38
6. Step 6: Final answer
   x = 5,308.16