Finding the Fourth Proportional to 6,570.10, 9,066.35 and 3,585.33

Step by Step Solution

1. Step 1: Write the proportion equation
   6,570.10 : 9,066.35 = 3,585.33 : x
2. Step 2: Convert to fraction form
   6,570.10/9,066.35 = 3,585.33/x
3. Step 3: Cross multiply
   6,570.10x = 9,066.35 × 3,585.33
4. Step 4: Simplify right side
   6,570.10x = 32,505,845.44
5. Step 5: Solve for x
   x = 32,505,845.44/6,570.10
6. Step 6: Final answer
   x = 4,947.55