Finding the Fourth Proportional to 6,569.20, 9,065.61 and 3,585.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,569.20 : 9,065.61 = 3,585.06 : x
2. Step 2: Convert to fraction form
   6,569.20/9,065.61 = 3,585.06/x
3. Step 3: Cross multiply
   6,569.20x = 9,065.61 × 3,585.06
4. Step 4: Simplify right side
   6,569.20x = 32,500,692.53
5. Step 5: Solve for x
   x = 32,500,692.53/6,569.20
6. Step 6: Final answer
   x = 4,947.44