Finding the Fourth Proportional to 6,570.10, 9,862.17 and 3,647.62

Step by Step Solution

1. Step 1: Write the proportion equation
   6,570.10 : 9,862.17 = 3,647.62 : x
2. Step 2: Convert to fraction form
   6,570.10/9,862.17 = 3,647.62/x
3. Step 3: Cross multiply
   6,570.10x = 9,862.17 × 3,647.62
4. Step 4: Simplify right side
   6,570.10x = 35,973,448.54
5. Step 5: Solve for x
   x = 35,973,448.54/6,570.10
6. Step 6: Final answer
   x = 5,475.33