Finding the Fourth Proportional to 6,569.58, 9,066.24 and 3,585.59

Step by Step Solution

1. Step 1: Write the proportion equation
   6,569.58 : 9,066.24 = 3,585.59 : x
2. Step 2: Convert to fraction form
   6,569.58/9,066.24 = 3,585.59/x
3. Step 3: Cross multiply
   6,569.58x = 9,066.24 × 3,585.59
4. Step 4: Simplify right side
   6,569.58x = 32,507,774.15
5. Step 5: Solve for x
   x = 32,507,774.15/6,569.58
6. Step 6: Final answer
   x = 4,948.23