Finding the Fourth Proportional to 6,538.81, 9,807.86 and 3,835.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,538.81 : 9,807.86 = 3,835.50 : x
2. Step 2: Convert to fraction form
   6,538.81/9,807.86 = 3,835.50/x
3. Step 3: Cross multiply
   6,538.81x = 9,807.86 × 3,835.50
4. Step 4: Simplify right side
   6,538.81x = 37,617,978.81
5. Step 5: Solve for x
   x = 37,617,978.81/6,538.81
6. Step 6: Final answer
   x = 5,753.03