Finding the Fourth Proportional to 6,569.78, 9,066.42 and 3,585.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,569.78 : 9,066.42 = 3,585.69 : x
2. Step 2: Convert to fraction form
   6,569.78/9,066.42 = 3,585.69/x
3. Step 3: Cross multiply
   6,569.78x = 9,066.42 × 3,585.69
4. Step 4: Simplify right side
   6,569.78x = 32,509,371.53
5. Step 5: Solve for x
   x = 32,509,371.53/6,569.78
6. Step 6: Final answer
   x = 4,948.32