Finding the Fourth Proportional to 6,493.12, 9,737.50 and 2,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,493.12 : 9,737.50 = 2,109.50 : x
2. Step 2: Convert to fraction form
   6,493.12/9,737.50 = 2,109.50/x
3. Step 3: Cross multiply
   6,493.12x = 9,737.50 × 2,109.50
4. Step 4: Simplify right side
   6,493.12x = 20,541,256.25
5. Step 5: Solve for x
   x = 20,541,256.25/6,493.12
6. Step 6: Final answer
   x = 3,163.54