Finding the Fourth Proportional to 6,570.19, 9,066.89 and 3,586.09

Step by Step Solution

1. Step 1: Write the proportion equation
   6,570.19 : 9,066.89 = 3,586.09 : x
2. Step 2: Convert to fraction form
   6,570.19/9,066.89 = 3,586.09/x
3. Step 3: Cross multiply
   6,570.19x = 9,066.89 × 3,586.09
4. Step 4: Simplify right side
   6,570.19x = 32,514,683.56
5. Step 5: Solve for x
   x = 32,514,683.56/6,570.19
6. Step 6: Final answer
   x = 4,948.82