Finding the Fourth Proportional to 7,023.50, 9,692.00 and 3,836.15

Step by Step Solution

1. Step 1: Write the proportion equation
   7,023.50 : 9,692.00 = 3,836.15 : x
2. Step 2: Convert to fraction form
   7,023.50/9,692.00 = 3,836.15/x
3. Step 3: Cross multiply
   7,023.50x = 9,692.00 × 3,836.15
4. Step 4: Simplify right side
   7,023.50x = 37,179,910.84
5. Step 5: Solve for x
   x = 37,179,910.84/7,023.50
6. Step 6: Final answer
   x = 5,293.65