Finding the Fourth Proportional to 6,570.07, 9,066.89 and 3,586.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,570.07 : 9,066.89 = 3,586.10 : x
2. Step 2: Convert to fraction form
   6,570.07/9,066.89 = 3,586.10/x
3. Step 3: Cross multiply
   6,570.07x = 9,066.89 × 3,586.10
4. Step 4: Simplify right side
   6,570.07x = 32,514,710.96
5. Step 5: Solve for x
   x = 32,514,710.96/6,570.07
6. Step 6: Final answer
   x = 4,948.91