Finding the Fourth Proportional to 3,789.52, 5,692.92 and 3,634

Step by Step Solution

1. Step 1: Write the proportion equation
   3,789.52 : 5,692.92 = 3,634 : x
2. Step 2: Convert to fraction form
   3,789.52/5,692.92 = 3,634/x
3. Step 3: Cross multiply
   3,789.52x = 5,692.92 × 3,634
4. Step 4: Simplify right side
   3,789.52x = 20,688,071.28
5. Step 5: Solve for x
   x = 20,688,071.28/3,789.52
6. Step 6: Final answer
   x = 5,459.29