Finding the Fourth Proportional to 6,569.96, 9,066.51 and 3,585.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,569.96 : 9,066.51 = 3,585.82 : x
2. Step 2: Convert to fraction form
   6,569.96/9,066.51 = 3,585.82/x
3. Step 3: Cross multiply
   6,569.96x = 9,066.51 × 3,585.82
4. Step 4: Simplify right side
   6,569.96x = 32,510,872.89
5. Step 5: Solve for x
   x = 32,510,872.89/6,569.96
6. Step 6: Final answer
   x = 4,948.41