Finding the Fourth Proportional to 7,162.56, 10,746.92 and 3,878

Step by Step Solution

1. Step 1: Write the proportion equation
   7,162.56 : 10,746.92 = 3,878 : x
2. Step 2: Convert to fraction form
   7,162.56/10,746.92 = 3,878/x
3. Step 3: Cross multiply
   7,162.56x = 10,746.92 × 3,878
4. Step 4: Simplify right side
   7,162.56x = 41,676,555.76
5. Step 5: Solve for x
   x = 41,676,555.76/7,162.56
6. Step 6: Final answer
   x = 5,818.67