Finding the Fourth Proportional to 6,870.16, 10,295.92 and 3,164.24

Step by Step Solution

1. Step 1: Write the proportion equation
   6,870.16 : 10,295.92 = 3,164.24 : x
2. Step 2: Convert to fraction form
   6,870.16/10,295.92 = 3,164.24/x
3. Step 3: Cross multiply
   6,870.16x = 10,295.92 × 3,164.24
4. Step 4: Simplify right side
   6,870.16x = 32,578,761.90
5. Step 5: Solve for x
   x = 32,578,761.90/6,870.16
6. Step 6: Final answer
   x = 4,742.07