Finding the Fourth Proportional to 6,569.33, 9,065.39 and 3,585.02

Step by Step Solution

1. Step 1: Write the proportion equation
   6,569.33 : 9,065.39 = 3,585.02 : x
2. Step 2: Convert to fraction form
   6,569.33/9,065.39 = 3,585.02/x
3. Step 3: Cross multiply
   6,569.33x = 9,065.39 × 3,585.02
4. Step 4: Simplify right side
   6,569.33x = 32,499,541.21
5. Step 5: Solve for x
   x = 32,499,541.21/6,569.33
6. Step 6: Final answer
   x = 4,947.17